45412504200 has 720 divisors, whose sum is σ = 193196005200. Its totient is φ = 9830419200.

The previous prime is 45412504133. The next prime is 45412504217. The reversal of 45412504200 is 240521454.

45412504200 is a `hidden beast` number, since 45 + 412 + 5 + 0 + 4 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 15080695 + ... + 15083705.

It is an arithmetic number, because the mean of its divisors is an integer number (268327785).

Almost surely, 2^45412504200 is an apocalyptic number.

45412504200 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 45412504200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96598002600).

45412504200 is an abundant number, since it is smaller than the sum of its proper divisors (147783501000).

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

45412504200 is a wasteful number, since it uses less digits than its factorization.

45412504200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 45412504200 in words is "forty-five billion, four hundred twelve million, five hundred four thousand, two hundred".