45577623672 has 80 divisors (see below), whose sum is σ = 145896640560. Its totient is φ = 13022176896.

The previous prime is 45577623629. The next prime is 45577623683. The reversal of 45577623672 is 27632677554.

It is a happy number.

45577623672 is a `hidden beast` number, since 4 + 5 + 5 + 7 + 7 + 623 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5019453 + ... + 5028524.

It is an arithmetic number, because the mean of its divisors is an integer number (1823708007).

Almost surely, 2^45577623672 is an apocalyptic number.

45577623672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45577623672 is an abundant number, since it is smaller than the sum of its proper divisors (100319016888).

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

45577623672 is a wasteful number, since it uses less digits than its factorization.

45577623672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048002 (or 10047989 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 54.

The spelling of 45577623672 in words is "forty-five billion, five hundred seventy-seven million, six hundred twenty-three thousand, six hundred seventy-two".