45309046464 has 840 divisors, whose sum is σ = 161874256896. Its totient is φ = 12410496000.

The previous prime is 45309046441. The next prime is 45309046499. The reversal of 45309046464 is 46464090354.

45309046464 is a `hidden beast` number, since 45 + 3 + 0 + 90 + 464 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 638155549 + ... + 638155619.

Almost surely, 2^45309046464 is an apocalyptic number.

45309046464 is a gapful number since it is divisible by the number (44) 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 45309046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80937128448).

45309046464 is an abundant number, since it is smaller than the sum of its proper divisors (116565210432).

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

45309046464 is a wasteful number, since it uses less digits than its factorization.

45309046464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 45309046464 in words is "forty-five billion, three hundred nine million, forty-six thousand, four hundred sixty-four".