45773414064 has 480 divisors, whose sum is σ = 163519296000. Its totient is φ = 11975662080.

The previous prime is 45773414021. The next prime is 45773414117. The reversal of 45773414064 is 46041437754.

45773414064 is a `hidden beast` number, since 4 + 577 + 3 + 4 + 14 + 0 + 64 = 666.

45773414064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 55214802 + ... + 55215630.

It is an arithmetic number, because the mean of its divisors is an integer number (340665200).

Almost surely, 2^45773414064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45773414064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81759648000).

45773414064 is an abundant number, since it is smaller than the sum of its proper divisors (117745881936).

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

45773414064 is a wasteful number, since it uses less digits than its factorization.

45773414064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 45773414064 in words is "forty-five billion, seven hundred seventy-three million, four hundred fourteen thousand, sixty-four".