45888876000 has 1152 divisors, whose sum is σ = 194113221120. Its totient is φ = 10440576000.

The previous prime is 45888875941. The next prime is 45888876001. The reversal of 45888876000 is 67888854.

45888876000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45888876001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 428867947 + ... + 428868053.

It is an arithmetic number, because the mean of its divisors is an integer number (168501060).

Almost surely, 2^45888876000 is an apocalyptic number.

45888876000 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 45888876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97056610560).

45888876000 is an abundant number, since it is smaller than the sum of its proper divisors (148224345120).

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

45888876000 is a wasteful number, since it uses less digits than its factorization.

45888876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 45888876000 in words is "forty-five billion, eight hundred eighty-eight million, eight hundred seventy-six thousand".