97816315536 has 135 divisors (see below), whose sum is σ = 278612851881. Its totient is φ = 32036222592.

The previous prime is 97816315507. The next prime is 97816315567. The reversal of 97816315536 is 63551361879.

The square root of 97816315536 is 312756.

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

97816315536 is a `hidden beast` number, since 9 + 7 + 81 + 6 + 3 + 1 + 553 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23090625936 + 74725689600 = 151956^2 + 273360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 251455630 + ... + 251456018.

Almost surely, 2^97816315536 is an apocalyptic number.

97816315536 is the 312756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97816315536

97816315536 is an abundant number, since it is smaller than the sum of its proper divisors (180796536345).

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

97816315536 is an equidigital number, since it uses as much as digits as its factorization.

97816315536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 461 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 97816315536 in words is "ninety-seven billion, eight hundred sixteen million, three hundred fifteen thousand, five hundred thirty-six".