45005612712720 has 640 divisors, whose sum is σ = 156203410341888. Its totient is φ = 10627813785600.

The previous prime is 45005612712713. The next prime is 45005612712997. The reversal of 45005612712720 is 2721721650054.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7880510665 + ... + 7880516375.

Almost surely, 2^{45005612712720} is an apocalyptic number.

45005612712720 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 45005612712720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78101705170944).

45005612712720 is an abundant number, since it is smaller than the sum of its proper divisors (111197797629168).

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

45005612712720 is a wasteful number, since it uses less digits than its factorization.

45005612712720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6311 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 45005612712720 in words is "forty-five trillion, five billion, six hundred twelve million, seven hundred twelve thousand, seven hundred twenty".