45138105600 has 864 divisors, whose sum is σ = 181454219520. Its totient is φ = 9661317120.

The previous prime is 45138105599. The next prime is 45138105739. The reversal of 45138105600 is 650183154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144211044 + ... + 144211356.

Almost surely, 2^45138105600 is an apocalyptic number.

45138105600 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 45138105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90727109760).

45138105600 is an abundant number, since it is smaller than the sum of its proper divisors (136316113920).

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

45138105600 is a wasteful number, since it uses less digits than its factorization.

45138105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 45138105600 its reverse (650183154), we get a palindrome (45788288754).

The spelling of 45138105600 in words is "forty-five billion, one hundred thirty-eight million, one hundred five thousand, six hundred".