45514656 has 96 divisors (see below), whose sum is σ = 144849600. Its totient is φ = 13789440.

The previous prime is 45514619. The next prime is 45514663. The reversal of 45514656 is 65641554.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45514656.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7110 + ... + 11898.

It is an arithmetic number, because the mean of its divisors is an integer number (1508850).

Almost surely, 2^45514656 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 45514656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72424800).

45514656 is an abundant number, since it is smaller than the sum of its proper divisors (99334944).

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

45514656 is a wasteful number, since it uses less digits than its factorization.

45514656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4805 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 45514656 is about 6746.4550691456. The cubic root of 45514656 is about 357.0401762566.

The spelling of 45514656 in words is "forty-five million, five hundred fourteen thousand, six hundred fifty-six".