45164993904 has 80 divisors (see below), whose sum is σ = 129666700800. Its totient is φ = 15051927744.

The previous prime is 45164993891. The next prime is 45164993927. The reversal of 45164993904 is 40939946154.

It is a happy number.

45164993904 is a `hidden beast` number, since 4 + 5 + 164 + 99 + 390 + 4 = 666.

It is a super-2 number, since 2×45164993904² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3294937 + ... + 3308615.

It is an arithmetic number, because the mean of its divisors is an integer number (1620833760).

Almost surely, 2^45164993904 is an apocalyptic number.

It is an amenable number.

45164993904 is an abundant number, since it is smaller than the sum of its proper divisors (84501706896).

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

45164993904 is a wasteful number, since it uses less digits than its factorization.

45164993904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21339 (or 21327 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 45164993904 in words is "forty-five billion, one hundred sixty-four million, nine hundred ninety-three thousand, nine hundred four".