48616512 has 112 divisors (see below), whose sum is σ = 149668992. Its totient is φ = 13639680.

The previous prime is 48616493. The next prime is 48616523. The reversal of 48616512 is 21561684.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×48616512² = 4727130478092288, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 81688 + ... + 82280.

Almost surely, 2^48616512 is an apocalyptic number.

48616512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74834496).

48616512 is an abundant number, since it is smaller than the sum of its proper divisors (101052480).

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

48616512 is a wasteful number, since it uses less digits than its factorization.

48616512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 48616512 is about 6972.5541948414. The cubic root of 48616512 is about 364.9734439927.

The spelling of 48616512 in words is "forty-eight million, six hundred sixteen thousand, five hundred twelve".