45392608800 has 864 divisors, whose sum is σ = 204532159104. Its totient is φ = 9197568000.

The previous prime is 45392608799. The next prime is 45392608861. The reversal of 45392608800 is 880629354.

45392608800 is a `hidden beast` number, since 4 + 5 + 39 + 2 + 608 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22729402 + ... + 22731398.

It is an arithmetic number, because the mean of its divisors is an integer number (236727036).

Almost surely, 2^45392608800 is an apocalyptic number.

45392608800 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 45392608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102266079552).

45392608800 is an abundant number, since it is smaller than the sum of its proper divisors (159139550304).

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

45392608800 is a wasteful number, since it uses less digits than its factorization.

45392608800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 45392608800 in words is "forty-five billion, three hundred ninety-two million, six hundred eight thousand, eight hundred".