12414328992 has 216 divisors, whose sum is σ = 39166457148. Its totient is φ = 3726028800.

The previous prime is 12414328939. The next prime is 12414329023. The reversal of 12414328992 is 29982341421.

12414328992 is a `hidden beast` number, since 1 + 241 + 43 + 289 + 92 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 403045776 + 12011283216 = 20076^2 + 109596^2 .

It is a super-2 number, since 2×12414328992² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1992442 + ... + 1998662.

Almost surely, 2^12414328992 is an apocalyptic number.

12414328992 is a gapful number since it is divisible by the number (12) 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 12414328992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19583228574).

12414328992 is an abundant number, since it is smaller than the sum of its proper divisors (26752128156).

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

12414328992 is a wasteful number, since it uses less digits than its factorization.

12414328992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 6280 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 12414328992 in words is "twelve billion, four hundred fourteen million, three hundred twenty-eight thousand, nine hundred ninety-two".