45364544064 has 336 divisors, whose sum is σ = 158991775488. Its totient is φ = 12071337984.

The previous prime is 45364544051. The next prime is 45364544107. The reversal of 45364544064 is 46044546354.

45364544064 is a `hidden beast` number, since 4 + 536 + 4 + 54 + 4 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6645357 + ... + 6652179.

It is an arithmetic number, because the mean of its divisors is an integer number (473189808).

Almost surely, 2^45364544064 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 45364544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79495887744).

45364544064 is an abundant number, since it is smaller than the sum of its proper divisors (113627231424).

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

45364544064 is a wasteful number, since it uses less digits than its factorization.

45364544064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 45364544064 in words is "forty-five billion, three hundred sixty-four million, five hundred forty-four thousand, sixty-four".