45733970688 has 288 divisors, whose sum is σ = 144636710400. Its totient is φ = 12552142848.

The previous prime is 45733970663. The next prime is 45733970713. The reversal of 45733970688 is 88607933754.

It is an interprime number because it is at equal distance from previous prime (45733970663) and next prime (45733970713).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36325003 + ... + 36326261.

It is an arithmetic number, because the mean of its divisors is an integer number (502210800).

Almost surely, 2^45733970688 is an apocalyptic number.

45733970688 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 45733970688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72318355200).

45733970688 is an abundant number, since it is smaller than the sum of its proper divisors (98902739712).

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

45733970688 is a wasteful number, since it uses less digits than its factorization.

45733970688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 45733970688 in words is "forty-five billion, seven hundred thirty-three million, nine hundred seventy thousand, six hundred eighty-eight".