94851952416 has 144 divisors (see below), whose sum is σ = 292091075640. Its totient is φ = 29023764480.

The previous prime is 94851952411. The next prime is 94851952441. The reversal of 94851952416 is 61425915849.

94851952416 is a `hidden beast` number, since 94 + 8 + 5 + 19 + 524 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10484940816 + 84367011600 = 102396^2 + 290460^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (94851952411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607680 + ... + 747648.

Almost surely, 2^94851952416 is an apocalyptic number.

94851952416 is a gapful number since it is divisible by the number (96) 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 94851952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146045537820).

94851952416 is an abundant number, since it is smaller than the sum of its proper divisors (197239123224).

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

94851952416 is a wasteful number, since it uses less digits than its factorization.

94851952416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140179 (or 140168 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 94851952416 in words is "ninety-four billion, eight hundred fifty-one million, nine hundred fifty-two thousand, four hundred sixteen".