45924523200 has 252 divisors, whose sum is σ = 170324635728. Its totient is φ = 11713996800.

The previous prime is 45924523199. The next prime is 45924523201. The reversal of 45924523200 is 232542954.

45924523200 is a `hidden beast` number, since 4 + 592 + 45 + 2 + 3 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45924523199) and next prime (45924523201).

It is a super-2 number, since 2×45924523200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45924523201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 261870 + ... + 400530.

Almost surely, 2^45924523200 is an apocalyptic number.

45924523200 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 45924523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85162317864).

45924523200 is an abundant number, since it is smaller than the sum of its proper divisors (124400112528).

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

45924523200 is a wasteful number, since it uses less digits than its factorization.

45924523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138712 (or 138694 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 45924523200 in words is "forty-five billion, nine hundred twenty-four million, five hundred twenty-three thousand, two hundred".