45907347600 has 135 divisors (see below), whose sum is σ = 159355873209. Its totient is φ = 12238531200.

The previous prime is 45907347469. The next prime is 45907347613. The reversal of 45907347600 is 674370954.

The square root of 45907347600 is 214260.

It is a perfect power (a square), and thus also a powerful number.

45907347600 is a `hidden beast` number, since 4 + 5 + 9 + 0 + 7 + 34 + 7 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16526645136 + 29380702464 = 128556^2 + 171408^2 .

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 26 ways as a sum of consecutive naturals, for example, 12853815 + ... + 12857385.

Almost surely, 2^45907347600 is an apocalyptic number.

45907347600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45907347600 is the 214260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45907347600

45907347600 is an abundant number, since it is smaller than the sum of its proper divisors (113448525609).

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

45907347600 is an equidigital number, since it uses as much as digits as its factorization.

45907347600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 45907347600 in words is "forty-five billion, nine hundred seven million, three hundred forty-seven thousand, six hundred".