45939133072 has 60 divisors (see below), whose sum is σ = 103991377980. Its totient is φ = 19602148608.

The previous prime is 45939133069. The next prime is 45939133087. The reversal of 45939133072 is 27033193954.

It can be written as a sum of positive squares in 2 ways, for example, as 18388444816 + 27550688256 = 135604^2 + 165984^2 .

It is a super-2 number, since 2×45939133072² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51598 + ... + 307474.

It is an arithmetic number, because the mean of its divisors is an integer number (1733189633).

Almost surely, 2^45939133072 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 45939133072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51995688990).

45939133072 is an abundant number, since it is smaller than the sum of its proper divisors (58052244908).

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

45939133072 is a wasteful number, since it uses less digits than its factorization.

45939133072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256128 (or 256115 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The spelling of 45939133072 in words is "forty-five billion, nine hundred thirty-nine million, one hundred thirty-three thousand, seventy-two".