45609490944 has 240 divisors, whose sum is σ = 139875690240. Its totient is φ = 14257520640.

The previous prime is 45609490939. The next prime is 45609490963. The reversal of 45609490944 is 44909490654.

It is a happy number.

45609490944 is a `hidden beast` number, since 4 + 5 + 60 + 9 + 490 + 94 + 4 = 666.

It is a super-2 number, since 2×45609490944² (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 23 ways as a sum of consecutive naturals, for example, 25928337 + ... + 25930095.

It is an arithmetic number, because the mean of its divisors is an integer number (582815376).

Almost surely, 2^45609490944 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 45609490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69937845120).

45609490944 is an abundant number, since it is smaller than the sum of its proper divisors (94266199296).

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

45609490944 is a wasteful number, since it uses less digits than its factorization.

45609490944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 45609490944 in words is "forty-five billion, six hundred nine million, four hundred ninety thousand, nine hundred forty-four".