45986512 has 80 divisors (see below), whose sum is σ = 106243200. Its totient is φ = 19008000.

The previous prime is 45986503. The next prime is 45986519. The reversal of 45986512 is 21568954.

It is a super-2 number, since 2×45986512² = 4229518571852288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45986519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230989 + ... + 231187.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 2^45986512 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 45986512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121600).

45986512 is an abundant number, since it is smaller than the sum of its proper divisors (60256688).

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

45986512 is a wasteful number, since it uses less digits than its factorization.

45986512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The square root of 45986512 is about 6781.3355616722. The cubic root of 45986512 is about 358.2697632799.

The spelling of 45986512 in words is "forty-five million, nine hundred eighty-six thousand, five hundred twelve".