45029368800 has 576 divisors, whose sum is σ = 185719988160. Its totient is φ = 10431037440.

The previous prime is 45029368799. The next prime is 45029368823. The reversal of 45029368800 is 886392054.

45029368800 is a `hidden beast` number, since 4 + 502 + 9 + 3 + 68 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4768884 + ... + 4778316.

It is an arithmetic number, because the mean of its divisors is an integer number (322430535).

Almost surely, 2^45029368800 is an apocalyptic number.

45029368800 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 45029368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92859994080).

45029368800 is an abundant number, since it is smaller than the sum of its proper divisors (140690619360).

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

45029368800 is a wasteful number, since it uses less digits than its factorization.

45029368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9492 (or 9473 counting only the distinct ones).

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

The spelling of 45029368800 in words is "forty-five billion, twenty-nine million, three hundred sixty-eight thousand, eight hundred".