94407296256 has 1152 divisors, whose sum is σ = 371687500800. Its totient is φ = 23219011584.

The previous prime is 94407296251. The next prime is 94407296279. The reversal of 94407296256 is 65269270449.

94407296256 is a `hidden beast` number, since 9 + 4 + 4 + 0 + 7 + 2 + 9 + 625 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94407296251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 866121930 + ... + 866122038.

It is an arithmetic number, because the mean of its divisors is an integer number (322645400).

Almost surely, 2^94407296256 is an apocalyptic number.

94407296256 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 94407296256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185843750400).

94407296256 is an abundant number, since it is smaller than the sum of its proper divisors (277280204544).

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

94407296256 is a wasteful number, since it uses less digits than its factorization.

94407296256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 94407296256 in words is "ninety-four billion, four hundred seven million, two hundred ninety-six thousand, two hundred fifty-six".