45922579788960 has 1536 divisors, whose sum is σ = 196701397401600. Its totient is φ = 9767750860800.

The previous prime is 45922579788937. The next prime is 45922579788971. The reversal of 45922579788960 is 6988797522954.

45922579788960 is a `hidden beast` number, since 459 + 2 + 2 + 5 + 7 + 9 + 78 + 8 + 96 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45922579788960.

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 255 ways as a sum of consecutive naturals, for example, 18086875371 + ... + 18086877909.

It is an arithmetic number, because the mean of its divisors is an integer number (128060805600).

Almost surely, 2^{45922579788960} is an apocalyptic number.

45922579788960 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 45922579788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98350698700800).

45922579788960 is an abundant number, since it is smaller than the sum of its proper divisors (150778817612640).

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

45922579788960 is a wasteful number, since it uses less digits than its factorization.

45922579788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 5486745600, while the sum is 81.

The spelling of 45922579788960 in words is "forty-five trillion, nine hundred twenty-two billion, five hundred seventy-nine million, seven hundred eighty-eight thousand, nine hundred sixty".