96457032901656 has 288 divisors, whose sum is σ = 316925703319680. Its totient is φ = 26395194470400.

The previous prime is 96457032901643. The next prime is 96457032901699. The reversal of 96457032901656 is 65610923075469.

96457032901656 is a `hidden beast` number, since 9 + 6 + 4 + 570 + 3 + 2 + 9 + 0 + 1 + 6 + 56 = 666.

It is a super-2 number, since 2×96457032901656² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 96457032901593 and 96457032901602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6062566 + ... + 15154826.

It is an arithmetic number, because the mean of its divisors is an integer number (1100436469860).

Almost surely, 2^{96457032901656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96457032901656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158462851659840).

96457032901656 is an abundant number, since it is smaller than the sum of its proper divisors (220468670418024).

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

96457032901656 is a wasteful number, since it uses less digits than its factorization.

96457032901656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092415 (or 9092401 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 96457032901656 in words is "ninety-six trillion, four hundred fifty-seven billion, thirty-two million, nine hundred one thousand, six hundred fifty-six".