97765741174336 has 63 divisors (see below), whose sum is σ = 195850913507067. Its totient is φ = 48421828963200.

The previous prime is 97765741174303. The next prime is 97765741174349. The reversal of 97765741174336 is 63347114756779.

The square root of 97765741174336 is 9887656.

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

It is a Duffinian number.

Its product of digits (560105280) is a multiple of the sum of its prime factors (23328).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8463827761 + ... + 8463839311.

Almost surely, 2^{97765741174336} is an apocalyptic number.

97765741174336 is the 9887656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97765741174336

97765741174336 is an abundant number, since it is smaller than the sum of its proper divisors (98085172332731).

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

97765741174336 is an frugal number, since it uses more digits than its factorization.

97765741174336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23328 (or 11660 counting only the distinct ones).

The product of its digits is 560105280, while the sum is 70.

The spelling of 97765741174336 in words is "ninety-seven trillion, seven hundred sixty-five billion, seven hundred forty-one million, one hundred seventy-four thousand, three hundred thirty-six".