45665612928 has 576 divisors, whose sum is σ = 154846036800. Its totient is φ = 12804894720.

The previous prime is 45665612887. The next prime is 45665612939. The reversal of 45665612928 is 82921656654.

45665612928 is a `hidden beast` number, since 4 + 56 + 6 + 561 + 2 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273446701 + ... + 273446867.

It is an arithmetic number, because the mean of its divisors is an integer number (268829925).

Almost surely, 2^45665612928 is an apocalyptic number.

45665612928 is a gapful number since it is divisible by the number (48) 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 45665612928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77423018400).

45665612928 is an abundant number, since it is smaller than the sum of its proper divisors (109180423872).

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

45665612928 is a wasteful number, since it uses less digits than its factorization.

45665612928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 235 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 45665612928 in words is "forty-five billion, six hundred sixty-five million, six hundred twelve thousand, nine hundred twenty-eight".