45633712068 has 384 divisors, whose sum is σ = 150989045760. Its totient is φ = 11617966080.

The previous prime is 45633712049. The next prime is 45633712109. The reversal of 45633712068 is 86021733654.

45633712068 is a `hidden beast` number, since 4 + 5 + 633 + 7 + 1 + 2 + 0 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18724146 + ... + 18726582.

It is an arithmetic number, because the mean of its divisors is an integer number (393200640).

Almost surely, 2^45633712068 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 45633712068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75494522880).

45633712068 is an abundant number, since it is smaller than the sum of its proper divisors (105355333692).

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

45633712068 is a wasteful number, since it uses less digits than its factorization.

45633712068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 45633712068 in words is "forty-five billion, six hundred thirty-three million, seven hundred twelve thousand, sixty-eight".