45795168 has 72 divisors (see below), whose sum is σ = 137100600. Its totient is φ = 14459904.

The previous prime is 45795157. The next prime is 45795179. The reversal of 45795168 is 86159754.

45795168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45795157) and next prime (45795179).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1288 + ... + 9656.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 2^45795168 is an apocalyptic number.

45795168 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 45795168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68550300).

45795168 is an abundant number, since it is smaller than the sum of its proper divisors (91305432).

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

45795168 is a wasteful number, since it uses less digits than its factorization.

45795168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8404 (or 8393 counting only the distinct ones).

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

The square root of 45795168 is about 6767.2127201677. The cubic root of 45795168 is about 357.7721675953.

The spelling of 45795168 in words is "forty-five million, seven hundred ninety-five thousand, one hundred sixty-eight".