45300364956 has 216 divisors, whose sum is σ = 149243932656. Its totient is φ = 11448138240.

The previous prime is 45300364931. The next prime is 45300364999. The reversal of 45300364956 is 65946300354.

45300364956 is a `hidden beast` number, since 4 + 530 + 0 + 3 + 64 + 9 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 686400 + ... + 749496.

Almost surely, 2^45300364956 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 45300364956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74621966328).

45300364956 is an abundant number, since it is smaller than the sum of its proper divisors (103943567700).

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

45300364956 is a wasteful number, since it uses less digits than its factorization.

45300364956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63169 (or 63157 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 45300364956 in words is "forty-five billion, three hundred million, three hundred sixty-four thousand, nine hundred fifty-six".