45257947200 has 252 divisors, whose sum is σ = 164600552688. Its totient is φ = 11787955200.

The previous prime is 45257947177. The next prime is 45257947219. The reversal of 45257947200 is 274975254.

45257947200 is a `hidden beast` number, since 4 + 5 + 2 + 579 + 4 + 72 + 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 35 ways as a sum of consecutive naturals, for example, 582655 + ... + 655745.

Almost surely, 2^45257947200 is an apocalyptic number.

45257947200 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 45257947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82300276344).

45257947200 is an abundant number, since it is smaller than the sum of its proper divisors (119342605488).

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

45257947200 is a wasteful number, since it uses less digits than its factorization.

45257947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73162 (or 73144 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 45257947200 in words is "forty-five billion, two hundred fifty-seven million, nine hundred forty-seven thousand, two hundred".