45612542976000 has 4032 divisors, whose sum is σ = 209859706158336. Its totient is φ = 8695185408000.

The previous prime is 45612542975977. The next prime is 45612542976017. The reversal of 45612542976000 is 67924521654.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 279831551919 + ... + 279831552081.

Almost surely, 2^{45612542976000} is an apocalyptic number.

45612542976000 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 45612542976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104929853079168).

45612542976000 is an abundant number, since it is smaller than the sum of its proper divisors (164247163182336).

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

45612542976000 is a wasteful number, since it uses less digits than its factorization.

45612542976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 45612542976000 in words is "forty-five trillion, six hundred twelve billion, five hundred forty-two million, nine hundred seventy-six thousand".