45873153600 has 336 divisors, whose sum is σ = 162377250048. Its totient is φ = 11294965760.

The previous prime is 45873153593. The next prime is 45873153629. The reversal of 45873153600 is 635137854.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4319497 + ... + 4330103.

Almost surely, 2^45873153600 is an apocalyptic number.

45873153600 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 45873153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81188625024).

45873153600 is an abundant number, since it is smaller than the sum of its proper divisors (116504096448).

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

45873153600 is a wasteful number, since it uses less digits than its factorization.

45873153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10702 (or 10687 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 45873153600 in words is "forty-five billion, eight hundred seventy-three million, one hundred fifty-three thousand, six hundred".