97213406112 has 36 divisors (see below), whose sum is σ = 276450624450. Its totient is φ = 32404468608.

The previous prime is 97213406107. The next prime is 97213406161. The reversal of 97213406112 is 21160431279.

97213406112 is a `hidden beast` number, since 9 + 7 + 2 + 1 + 34 + 0 + 611 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85191599376 + 12021806736 = 291876^2 + 109644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168772987 + ... + 168773562.

Almost surely, 2^97213406112 is an apocalyptic number.

It is an amenable number.

97213406112 is an abundant number, since it is smaller than the sum of its proper divisors (179237218338).

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

97213406112 is a wasteful number, since it uses less digits than its factorization.

97213406112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337546565 (or 337546554 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 97213406112 in words is "ninety-seven billion, two hundred thirteen million, four hundred six thousand, one hundred twelve".