45401313600 has 252 divisors, whose sum is σ = 161771881180. Its totient is φ = 12076646400.

The previous prime is 45401313577. The next prime is 45401313613. The reversal of 45401313600 is 631310454.

45401313600 is a `hidden beast` number, since 4 + 5 + 40 + 1 + 3 + 13 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10384425216 + 35016888384 = 101904^2 + 187128^2 .

It is a super-2 number, since 2×45401313600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6058656 + ... + 6066144.

Almost surely, 2^45401313600 is an apocalyptic number.

45401313600 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 45401313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80885940590).

45401313600 is an abundant number, since it is smaller than the sum of its proper divisors (116370567580).

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

45401313600 is a wasteful number, since it uses less digits than its factorization.

45401313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7938 (or 7920 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 45401313600 in words is "forty-five billion, four hundred one million, three hundred thirteen thousand, six hundred".