45999355680 has 576 divisors, whose sum is σ = 173905280640. Its totient is φ = 11448262656.

The previous prime is 45999355669. The next prime is 45999355711. The reversal of 45999355680 is 8655399954.

45999355680 is a `hidden beast` number, since 4 + 599 + 9 + 35 + 5 + 6 + 8 + 0 = 666.

45999355680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53926134 + ... + 53926986.

It is an arithmetic number, because the mean of its divisors is an integer number (301918890).

Almost surely, 2^45999355680 is an apocalyptic number.

45999355680 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 45999355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86952640320).

45999355680 is an abundant number, since it is smaller than the sum of its proper divisors (127905924960).

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

45999355680 is a wasteful number, since it uses less digits than its factorization.

45999355680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 45999355680 in words is "forty-five billion, nine hundred ninety-nine million, three hundred fifty-five thousand, six hundred eighty".