97349295553056 has 144 divisors (see below), whose sum is σ = 287995938519744. Its totient is φ = 32347399175424.

The previous prime is 97349295553007. The next prime is 97349295553063. The reversal of 97349295553056 is 65035559294379.

97349295553056 is a `hidden beast` number, since 9 + 7 + 3 + 49 + 29 + 5 + 553 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 17281380 + ... + 22211363.

It is an arithmetic number, because the mean of its divisors is an integer number (1999971795276).

Almost surely, 2^{97349295553056} is an apocalyptic number.

97349295553056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

97349295553056 is an abundant number, since it is smaller than the sum of its proper divisors (190646642966688).

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

97349295553056 is a wasteful number, since it uses less digits than its factorization.

97349295553056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39493085 (or 39493065 counting only the distinct ones).

The product of its (nonzero) digits is 1377810000, while the sum is 72.

The spelling of 97349295553056 in words is "ninety-seven trillion, three hundred forty-nine billion, two hundred ninety-five million, five hundred fifty-three thousand, fifty-six".