45923328000 has 896 divisors, whose sum is σ = 186467374080. Its totient is φ = 11059200000.

The previous prime is 45923327993. The next prime is 45923328001. The reversal of 45923328000 is 82332954.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45923328001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 304127925 + ... + 304128075.

Almost surely, 2^45923328000 is an apocalyptic number.

45923328000 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 45923328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93233687040).

45923328000 is an abundant number, since it is smaller than the sum of its proper divisors (140544046080).

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

45923328000 is a wasteful number, since it uses less digits than its factorization.

45923328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 45923328000 in words is "forty-five billion, nine hundred twenty-three million, three hundred twenty-eight thousand".