45288764928000 has 2496 divisors, whose sum is σ = 191296488015360. Its totient is φ = 10483089408000.

The previous prime is 45288764927983. The next prime is 45288764928031. The reversal of 45288764928000 is 82946788254.

45288764928000 is a `hidden beast` number, since 4 + 5 + 288 + 76 + 4 + 9 + 280 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80441855719 + ... + 80441856281.

It is an arithmetic number, because the mean of its divisors is an integer number (76641221160).

Almost surely, 2^{45288764928000} is an apocalyptic number.

45288764928000 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 45288764928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95648244007680).

45288764928000 is an abundant number, since it is smaller than the sum of its proper divisors (146007723087360).

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

45288764928000 is a wasteful number, since it uses less digits than its factorization.

45288764928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 45288764928000 in words is "forty-five trillion, two hundred eighty-eight billion, seven hundred sixty-four million, nine hundred twenty-eight thousand".