12248879616 has 160 divisors (see below), whose sum is σ = 36708513600. Its totient is φ = 4082586624.

The previous prime is 12248879579. The next prime is 12248879623. The reversal of 12248879616 is 61697884221.

It is a happy number.

12248879616 is a `hidden beast` number, since 12 + 2 + 4 + 8 + 8 + 7 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1114275 + ... + 1125213.

It is an arithmetic number, because the mean of its divisors is an integer number (229428210).

Almost surely, 2^12248879616 is an apocalyptic number.

12248879616 is a gapful number since it is divisible by the number (16) 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 12248879616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18354256800).

12248879616 is an abundant number, since it is smaller than the sum of its proper divisors (24459633984).

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

12248879616 is an frugal number, since it uses more digits than its factorization.

12248879616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10978 (or 10944 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 12248879616 in words is "twelve billion, two hundred forty-eight million, eight hundred seventy-nine thousand, six hundred sixteen".