45141094656 has 108 divisors (see below), whose sum is σ = 148746229632. Its totient is φ = 12897451008.

The previous prime is 45141094613. The next prime is 45141094699. The reversal of 45141094656 is 65649014154.

45141094656 is a `hidden beast` number, since 45 + 141 + 0 + 9 + 465 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (45141094613) and next prime (45141094699).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1383336 + ... + 1415591.

It is an arithmetic number, because the mean of its divisors is an integer number (1377279904).

Almost surely, 2^45141094656 is an apocalyptic number.

It is an amenable number.

45141094656 is an abundant number, since it is smaller than the sum of its proper divisors (103605134976).

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

45141094656 is a wasteful number, since it uses less digits than its factorization.

45141094656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798956 (or 2798939 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 45141094656 in words is "forty-five billion, one hundred forty-one million, ninety-four thousand, six hundred fifty-six".