45965312 has 56 divisors (see below), whose sum is σ = 95414592. Its totient is φ = 22118400.

The previous prime is 45965291. The next prime is 45965321. The reversal of 45965312 is 21356954.

It is a super-2 number, since 2×45965312² = 4225619814514688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253862 + ... + 254042.

It is an arithmetic number, because the mean of its divisors is an integer number (1703832).

Almost surely, 2^45965312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45965312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47707296).

45965312 is an abundant number, since it is smaller than the sum of its proper divisors (49449280).

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

45965312 is an equidigital number, since it uses as much as digits as its factorization.

45965312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The square root of 45965312 is about 6779.7722675618. The cubic root of 45965312 is about 358.2147001312.

The spelling of 45965312 in words is "forty-five million, nine hundred sixty-five thousand, three hundred twelve".