45975168 has 128 divisors (see below), whose sum is σ = 138801600. Its totient is φ = 14976000.

The previous prime is 45975133. The next prime is 45975203. The reversal of 45975168 is 86157954.

45975168 is a `hidden beast` number, since 4 + 597 + 51 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (45975133) and next prime (45975203).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×45975168² = 4227432145256448, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 183043 + ... + 183293.

Almost surely, 2^45975168 is an apocalyptic number.

45975168 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 45975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69400800).

45975168 is an abundant number, since it is smaller than the sum of its proper divisors (92826432).

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

45975168 is a wasteful number, since it uses less digits than its factorization.

45975168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 309 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 45975168 is about 6780.4990966742. The cubic root of 45975168 is about 358.2403014061.

The spelling of 45975168 in words is "forty-five million, nine hundred seventy-five thousand, one hundred sixty-eight".