112687545786211 has 48 divisors (see below), whose sum is σ = 125297013996000. Its totient is φ = 101260869248000.

The previous prime is 112687545786121. The next prime is 112687545786223.

It is a happy number.

112687545786211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112687545786211 - 2³⁹ = 112137789972323 is a prime.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (112687545756211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23393716875 + ... + 23393721691.

It is an arithmetic number, because the mean of its divisors is an integer number (2610354458250).

Almost surely, 2^{112687545786211} is an apocalyptic number.

112687545786211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112687545786211 is a deficient number, since it is larger than the sum of its proper divisors (12609468209789).

112687545786211 is a wasteful number, since it uses less digits than its factorization.

112687545786211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7716 (or 7705 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 64.

The spelling of 112687545786211 in words is "one hundred twelve trillion, six hundred eighty-seven billion, five hundred forty-five million, seven hundred eighty-six thousand, two hundred eleven".