45225734400 has 1620 divisors, whose sum is σ = 212101105216. Its totient is φ = 9306316800.

The previous prime is 45225734399. The next prime is 45225734419. The reversal of 45225734400 is 443752254.

45225734400 is a `hidden beast` number, since 45 + 2 + 2 + 573 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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 179 ways as a sum of consecutive naturals, for example, 439084749 + ... + 439084851.

Almost surely, 2^45225734400 is an apocalyptic number.

45225734400 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 45225734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106050552608).

45225734400 is an abundant number, since it is smaller than the sum of its proper divisors (166875370816).

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

45225734400 is a wasteful number, since it uses less digits than its factorization.

45225734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 45225734400 in words is "forty-five billion, two hundred twenty-five million, seven hundred thirty-four thousand, four hundred".