45630168 has 32 divisors (see below), whose sum is σ = 114255360. Its totient is φ = 15186080.

The previous prime is 45630131. The next prime is 45630199. The reversal of 45630168 is 86103654.

It is a super-2 number, since 2×45630168² = 4164224463416448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 20821 + ... + 22907.

It is an arithmetic number, because the mean of its divisors is an integer number (3570480).

Almost surely, 2^45630168 is an apocalyptic number.

It is an amenable number.

45630168 is an abundant number, since it is smaller than the sum of its proper divisors (68625192).

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

45630168 is a wasteful number, since it uses less digits than its factorization.

45630168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 45630168 is about 6755.0105847437. The cubic root of 45630168 is about 357.3419661103.

The spelling of 45630168 in words is "forty-five million, six hundred thirty thousand, one hundred sixty-eight".