45221904000 has 2304 divisors, whose sum is σ = 222845968800. Its totient is φ = 8670412800.

The previous prime is 45221903929. The next prime is 45221904031. The reversal of 45221904000 is 40912254.

45221904000 is a `hidden beast` number, since 45 + 2 + 219 + 0 + 400 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2729853504 + 42492050496 = 52248^2 + 206136^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1559375986 + ... + 1559376014.

Almost surely, 2^45221904000 is an apocalyptic number.

45221904000 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 45221904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111422984400).

45221904000 is an abundant number, since it is smaller than the sum of its proper divisors (177624064800).

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

45221904000 is a wasteful number, since it uses less digits than its factorization.

45221904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 45221904000 in words is "forty-five billion, two hundred twenty-one million, nine hundred four thousand".