12416968284 has 144 divisors (see below), whose sum is σ = 34880541696. Its totient is φ = 3424377600.

The previous prime is 12416968261. The next prime is 12416968297. The reversal of 12416968284 is 48286961421.

It is a super-2 number, since 2×12416968284² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10407592 + ... + 10408784.

It is an arithmetic number, because the mean of its divisors is an integer number (242225984).

Almost surely, 2^12416968284 is an apocalyptic number.

12416968284 is a gapful number since it is divisible by the number (14) 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 12416968284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17440270848).

12416968284 is an abundant number, since it is smaller than the sum of its proper divisors (22463573412).

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

12416968284 is a wasteful number, since it uses less digits than its factorization.

12416968284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1807 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

It can be divided in two parts, 12416 and 968284, that added together give a triangular number (980700 = T₁₄₀₀).

The spelling of 12416968284 in words is "twelve billion, four hundred sixteen million, nine hundred sixty-eight thousand, two hundred eighty-four".