45409602672 has 320 divisors, whose sum is σ = 162215808000. Its totient is φ = 11867046912.

The previous prime is 45409602661. The next prime is 45409602713. The reversal of 45409602672 is 27620690454.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1652598 + ... + 1679850.

It is an arithmetic number, because the mean of its divisors is an integer number (506924400).

Almost surely, 2^45409602672 is an apocalyptic number.

45409602672 is a gapful number since it is divisible by the number (42) 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 45409602672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81107904000).

45409602672 is an abundant number, since it is smaller than the sum of its proper divisors (116806205328).

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

45409602672 is a wasteful number, since it uses less digits than its factorization.

45409602672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27325 (or 27313 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 45409602672 in words is "forty-five billion, four hundred nine million, six hundred two thousand, six hundred seventy-two".