45756768 has 24 divisors (see below), whose sum is σ = 120111768. Its totient is φ = 15252224.

The previous prime is 45756757. The next prime is 45756787. The reversal of 45756768 is 86765754.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238221 + ... + 238412.

It is an arithmetic number, because the mean of its divisors is an integer number (5004657).

Almost surely, 2^45756768 is an apocalyptic number.

45756768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45756768 is an abundant number, since it is smaller than the sum of its proper divisors (74355000).

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

45756768 is a wasteful number, since it uses less digits than its factorization.

45756768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476646 (or 476638 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The square root of 45756768 is about 6764.3749156888. The cubic root of 45756768 is about 357.6721403537.

The spelling of 45756768 in words is "forty-five million, seven hundred fifty-six thousand, seven hundred sixty-eight".