94251695040 has 224 divisors, whose sum is σ = 332933771520. Its totient is φ = 25100928000.

The previous prime is 94251695017. The next prime is 94251695047. The reversal of 94251695040 is 4059615249.

94251695040 is a `hidden beast` number, since 9 + 4 + 2 + 516 + 95 + 0 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94251695047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7000315 + ... + 7013765.

It is an arithmetic number, because the mean of its divisors is an integer number (1486311480).

Almost surely, 2^94251695040 is an apocalyptic number.

94251695040 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 94251695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166466885760).

94251695040 is an abundant number, since it is smaller than the sum of its proper divisors (238682076480).

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

94251695040 is a wasteful number, since it uses less digits than its factorization.

94251695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288 (or 14272 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 94251695040 in words is "ninety-four billion, two hundred fifty-one million, six hundred ninety-five thousand, forty".