11755506645 has 32 divisors (see below), whose sum is σ = 20932698240. Its totient is φ = 6259397760.

The previous prime is 11755506629. The next prime is 11755506667. The reversal of 11755506645 is 54660555711.

It is a happy number.

11755506645 is a `hidden beast` number, since 11 + 75 + 5 + 506 + 64 + 5 = 666.

It is not a de Polignac number, because 11755506645 - 2⁴ = 11755506629 is a prime.

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 11755506645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12730 + ... + 153860.

It is an arithmetic number, because the mean of its divisors is an integer number (654146820).

Almost surely, 2^11755506645 is an apocalyptic number.

11755506645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11755506645 is a deficient number, since it is larger than the sum of its proper divisors (9177191595).

11755506645 is a wasteful number, since it uses less digits than its factorization.

11755506645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141762 (or 141756 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

It can be divided in two parts, 11755 and 506645, that added together give a square (518400 = 720²).

The spelling of 11755506645 in words is "eleven billion, seven hundred fifty-five million, five hundred six thousand, six hundred forty-five".