94252523120640 has 1152 divisors, whose sum is σ = 359144220708000. Its totient is φ = 22754334081024.

The previous prime is 94252523120599. The next prime is 94252523120681. The reversal of 94252523120640 is 4602132525249.

94252523120640 is a `hidden beast` number, since 9 + 4 + 2 + 52 + 523 + 12 + 0 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (94252523120599) and next prime (94252523120681).

It can be written as a sum of positive squares in 16 ways, for example, as 8471732069376 + 85780791051264 = 2910624^2 + 9261792^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×94252523120640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12585458016 + ... + 12585465504.

Almost surely, 2^{94252523120640} is an apocalyptic number.

94252523120640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94252523120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179572110354000).

94252523120640 is an abundant number, since it is smaller than the sum of its proper divisors (264891697587360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

94252523120640 is a wasteful number, since it uses less digits than its factorization.

94252523120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7845 (or 7822 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 94252523120640 its reverse (4602132525249), we get a palindrome (98854655645889).

The spelling of 94252523120640 in words is "ninety-four trillion, two hundred fifty-two billion, five hundred twenty-three million, one hundred twenty thousand, six hundred forty".