12403678113792 has 1664 divisors, whose sum is σ = 45450640179200. Its totient is φ = 3267860889600.

The previous prime is 12403678113791. The next prime is 12403678113809. The reversal of 12403678113792 is 29731187630421.

12403678113792 is a `hidden beast` number, since 1 + 2 + 403 + 67 + 81 + 13 + 7 + 92 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 12403678113792 = 660³ + 23148³ = 10592³ + 22384³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12403678113791) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54164533134 + ... + 54164533362.

Almost surely, 2^{12403678113792} is an apocalyptic number.

12403678113792 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 12403678113792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22725320089600).

12403678113792 is an abundant number, since it is smaller than the sum of its proper divisors (33046962065408).

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

12403678113792 is a wasteful number, since it uses less digits than its factorization.

12403678113792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 12403678113792 in words is "twelve trillion, four hundred three billion, six hundred seventy-eight million, one hundred thirteen thousand, seven hundred ninety-two".