45924060672000 has 3432 divisors, whose sum is σ = 206437082596992. Its totient is φ = 10158317568000.

The previous prime is 45924060671959. The next prime is 45924060672013. The reversal of 45924060672000 is 27606042954.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 1481421311985 + ... + 1481421312015.

Almost surely, 2^{45924060672000} is an apocalyptic number.

45924060672000 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 45924060672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103218541298496).

45924060672000 is an abundant number, since it is smaller than the sum of its proper divisors (160513021924992).

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

45924060672000 is an frugal number, since it uses more digits than its factorization.

45924060672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 48 counting only the distinct ones).

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

The spelling of 45924060672000 in words is "forty-five trillion, nine hundred twenty-four billion, sixty million, six hundred seventy-two thousand".