45644062968 has 192 divisors, whose sum is σ = 146123827200. Its totient is φ = 12595633920.

The previous prime is 45644062949. The next prime is 45644062979. The reversal of 45644062968 is 86926044654.

45644062968 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 4 + 0 + 629 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8793718 + ... + 8798906.

It is an arithmetic number, because the mean of its divisors is an integer number (761061600).

Almost surely, 2^45644062968 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 45644062968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73061913600).

45644062968 is an abundant number, since it is smaller than the sum of its proper divisors (100479764232).

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

45644062968 is a wasteful number, since it uses less digits than its factorization.

45644062968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5802 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 45644062968 in words is "forty-five billion, six hundred forty-four million, sixty-two thousand, nine hundred sixty-eight".