12416756736 has 88 divisors (see below), whose sum is σ = 33656610240. Its totient is φ = 4068708352.

The previous prime is 12416756719. The next prime is 12416756773. The reversal of 12416756736 is 63765761421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 146995 + ... + 215501.

It is an arithmetic number, because the mean of its divisors is an integer number (382461480).

Almost surely, 2^12416756736 is an apocalyptic number.

12416756736 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 12416756736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16828305120).

12416756736 is an abundant number, since it is smaller than the sum of its proper divisors (21239853504).

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

12416756736 is an equidigital number, since it uses as much as digits as its factorization.

12416756736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68589 (or 68571 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The spelling of 12416756736 in words is "twelve billion, four hundred sixteen million, seven hundred fifty-six thousand, seven hundred thirty-six".