97582075316496 has 225 divisors, whose sum is σ = 283628813197653. Its totient is φ = 32389970152320.

The previous prime is 97582075316461. The next prime is 97582075316533. The reversal of 97582075316496 is 69461357028579.

The square root of 97582075316496 is 9878364.

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

97582075316496 is a `hidden beast` number, since 9 + 7 + 5 + 8 + 20 + 7 + 531 + 64 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56177483386896 + 41404591929600 = 7495164^2 + 6434640^2 .

It is a super-2 number, since 2×97582075316496² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 44 ways as a sum of consecutive naturals, for example, 117710585010 + ... + 117710585838.

It is a 1-persistent number, because it is pandigital, but 2⋅97582075316496 = 195164150632992 is not.

Almost surely, 2^{97582075316496} is an apocalyptic number.

97582075316496 is the 9878364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97582075316496

97582075316496 is an abundant number, since it is smaller than the sum of its proper divisors (186046737881157).

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

97582075316496 is an frugal number, since it uses more digits than its factorization.

97582075316496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 97582075316496 in words is "ninety-seven trillion, five hundred eighty-two billion, seventy-five million, three hundred sixteen thousand, four hundred ninety-six".