45873528000 has 224 divisors, whose sum is σ = 151698106560. Its totient is φ = 12214886400.

The previous prime is 45873527929. The next prime is 45873528013. The reversal of 45873528000 is 82537854.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27095154 + ... + 27096846.

It is an arithmetic number, because the mean of its divisors is an integer number (677223690).

Almost surely, 2^45873528000 is an apocalyptic number.

45873528000 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 45873528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75849053280).

45873528000 is an abundant number, since it is smaller than the sum of its proper divisors (105824578560).

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

45873528000 is a wasteful number, since it uses less digits than its factorization.

45873528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 45873528000 in words is "forty-five billion, eight hundred seventy-three million, five hundred twenty-eight thousand".