45505206252 has 36 divisors (see below), whose sum is σ = 125484054696. Its totient is φ = 13789456320.

The previous prime is 45505206233. The next prime is 45505206269. The reversal of 45505206252 is 25260250554.

45505206252 is a `hidden beast` number, since 4 + 5 + 5 + 0 + 5 + 20 + 625 + 2 = 666.

45505206252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57455673 + ... + 57456464.

It is an arithmetic number, because the mean of its divisors is an integer number (3485668186).

Almost surely, 2^45505206252 is an apocalyptic number.

It is an amenable number.

45505206252 is an abundant number, since it is smaller than the sum of its proper divisors (79978848444).

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

45505206252 is a wasteful number, since it uses less digits than its factorization.

45505206252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114912158 (or 114912153 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 45505206252 in words is "forty-five billion, five hundred five million, two hundred six thousand, two hundred fifty-two".