97813400256 has 672 divisors, whose sum is σ = 351835760640. Its totient is φ = 26243481600.

The previous prime is 97813400203. The next prime is 97813400263. The reversal of 97813400256 is 65200431879.

It is a super-2 number, since 2×97813400256² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 865605256 + ... + 865605368.

It is an arithmetic number, because the mean of its divisors is an integer number (523565120).

It is a 1-persistent number, because it is pandigital, but 2⋅97813400256 = 195626800512 is not.

Almost surely, 2^97813400256 is an apocalyptic number.

97813400256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97813400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175917880320).

97813400256 is an abundant number, since it is smaller than the sum of its proper divisors (254022360384).

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

97813400256 is a wasteful number, since it uses less digits than its factorization.

97813400256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 97813400256 in words is "ninety-seven billion, eight hundred thirteen million, four hundred thousand, two hundred fifty-six".