112406652765 has 96 divisors (see below), whose sum is σ = 225647824896. Its totient is φ = 51158906880.

The previous prime is 112406652763. The next prime is 112406652823. The reversal of 112406652765 is 567256604211.

112406652765 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 0 + 66 + 527 + 65 = 666.

It is not a de Polignac number, because 112406652765 - 2¹ = 112406652763 is a prime.

It is a super-3 number, since 3×112406652765³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 112406652765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112406652763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3205507 + ... + 3240383.

It is an arithmetic number, because the mean of its divisors is an integer number (2350498176).

Almost surely, 2^112406652765 is an apocalyptic number.

112406652765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112406652765 is an abundant number, since it is smaller than the sum of its proper divisors (113241172131).

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

112406652765 is a wasteful number, since it uses less digits than its factorization.

112406652765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35299 (or 35296 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 112406652765 in words is "one hundred twelve billion, four hundred six million, six hundred fifty-two thousand, seven hundred sixty-five".