45744768 has 48 divisors (see below), whose sum is σ = 131638650. Its totient is φ = 15247872.

The previous prime is 45744767. The next prime is 45744817. The reversal of 45744768 is 86744754.

45744768 is a `hidden beast` number, since 4 + 574 + 4 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29680704 + 16064064 = 5448^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (45744767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18703 + ... + 21006.

Almost surely, 2^45744768 is an apocalyptic number.

45744768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45744768 is an abundant number, since it is smaller than the sum of its proper divisors (85893882).

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

45744768 is a wasteful number, since it uses less digits than its factorization.

45744768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39729 (or 39714 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 45744768 is about 6763.4878576072. The cubic root of 45744768 is about 357.6408703644.

The spelling of 45744768 in words is "forty-five million, seven hundred forty-four thousand, seven hundred sixty-eight".