97155509907456 has 1248 divisors, whose sum is σ = 393185639089152. Its totient is φ = 22281049866240.

The previous prime is 97155509907361. The next prime is 97155509907487. The reversal of 97155509907456 is 65470990555179.

97155509907456 is a `hidden beast` number, since 9 + 7 + 15 + 550 + 9 + 9 + 0 + 7 + 4 + 56 = 666.

97155509907456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 848662636 + ... + 848777108.

It is an arithmetic number, because the mean of its divisors is an integer number (315052595424).

Almost surely, 2^{97155509907456} is an apocalyptic number.

97155509907456 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 97155509907456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196592819544576).

97155509907456 is an abundant number, since it is smaller than the sum of its proper divisors (296030129181696).

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

97155509907456 is a wasteful number, since it uses less digits than its factorization.

97155509907456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114557 (or 114532 counting only the distinct ones).

The product of its (nonzero) digits is 535815000, while the sum is 72.

The spelling of 97155509907456 in words is "ninety-seven trillion, one hundred fifty-five billion, five hundred nine million, nine hundred seven thousand, four hundred fifty-six".