48611664 has 60 divisors (see below), whose sum is σ = 141095136. Its totient is φ = 16202592.

The previous prime is 48611639. The next prime is 48611681. The reversal of 48611664 is 46611684.

48611664 is a `hidden beast` number, since 486 + 116 + 64 = 666.

It is a super-3 number, since 3×48611664³ (a number of 24 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 2364 + ... + 10139.

Almost surely, 2^48611664 is an apocalyptic number.

It is an amenable number.

48611664 is an abundant number, since it is smaller than the sum of its proper divisors (92483472).

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

48611664 is a wasteful number, since it uses less digits than its factorization.

48611664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12526 (or 12508 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 48611664 is about 6972.2065373883. The cubic root of 48611664 is about 364.9613119687.

The spelling of 48611664 in words is "forty-eight million, six hundred eleven thousand, six hundred sixty-four".