45359574080 has 168 divisors, whose sum is σ = 115563911112. Its totient is φ = 16899506176.

The previous prime is 45359574079. The next prime is 45359574109. The reversal of 45359574080 is 8047595354.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 36361913344 + 8997660736 = 190688^2 + 94856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69463034 + ... + 69463686.

Almost surely, 2^45359574080 is an apocalyptic number.

45359574080 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 45359574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57781955556).

45359574080 is an abundant number, since it is smaller than the sum of its proper divisors (70204337032).

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

45359574080 is a wasteful number, since it uses less digits than its factorization.

45359574080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 50.

The spelling of 45359574080 in words is "forty-five billion, three hundred fifty-nine million, five hundred seventy-four thousand, eighty".