45204696000 has 896 divisors, whose sum is σ = 176298270720. Its totient is φ = 11321856000.

The previous prime is 45204695959. The next prime is 45204696077. The reversal of 45204696000 is 69640254.

45204696000 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 46 + 9 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287927922 + ... + 287928078.

Almost surely, 2^45204696000 is an apocalyptic number.

45204696000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45204696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88149135360).

45204696000 is an abundant number, since it is smaller than the sum of its proper divisors (131093574720).

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

45204696000 is a wasteful number, since it uses less digits than its factorization.

45204696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 45204696000 in words is "forty-five billion, two hundred four million, six hundred ninety-six thousand".