45512612000 has 96 divisors (see below), whose sum is σ = 111914069904. Its totient is φ = 18190464000.

The previous prime is 45512611979. The next prime is 45512612011. The reversal of 45512612000 is 21621554.

It can be written as a sum of positive squares in 8 ways, for example, as 14953376656 + 30559235344 = 122284^2 + 174812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5968190 + ... + 5975810.

Almost surely, 2^45512612000 is an apocalyptic number.

45512612000 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 45512612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55957034952).

45512612000 is an abundant number, since it is smaller than the sum of its proper divisors (66401457904).

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

45512612000 is a wasteful number, since it uses less digits than its factorization.

45512612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9139 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 45512612000 in words is "forty-five billion, five hundred twelve million, six hundred twelve thousand".