96791832064656 has 405 divisors, whose sum is σ = 285856408723977. Its totient is φ = 30572664295680.

The previous prime is 96791832064601. The next prime is 96791832064691. The reversal of 96791832064656 is 65646023819769.

The square root of 96791832064656 is 9838284.

It is a perfect power (a square), and thus also a powerful number.

96791832064656 is a `hidden beast` number, since 9 + 67 + 9 + 1 + 83 + 20 + 6 + 465 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69776952627600 + 27014879437056 = 8353260^2 + 5197584^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 193971607095 + ... + 193971607593.

It is a 1-persistent number, because it is pandigital, but 2⋅96791832064656 = 193583664129312 is not.

Almost surely, 2^{96791832064656} is an apocalyptic number.

96791832064656 is the 9838284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96791832064656

96791832064656 is an abundant number, since it is smaller than the sum of its proper divisors (189064576659321).

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

96791832064656 is an equidigital number, since it uses as much as digits as its factorization.

96791832064656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 96791832064656 in words is "ninety-six trillion, seven hundred ninety-one billion, eight hundred thirty-two million, sixty-four thousand, six hundred fifty-six".