126869631479136 has 480 divisors, whose sum is σ = 465692706597888. Its totient is φ = 32988848901120.

The previous prime is 126869631479117. The next prime is 126869631479191. The reversal of 126869631479136 is 631974136968621.

126869631479136 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 6 + 96 + 31 + 479 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12959061 + ... + 20534763.

Almost surely, 2^{126869631479136} is an apocalyptic number.

126869631479136 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 126869631479136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232846353298944).

126869631479136 is an abundant number, since it is smaller than the sum of its proper divisors (338823075118752).

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

126869631479136 is a wasteful number, since it uses less digits than its factorization.

126869631479136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575816 (or 7575799 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 126869631479136 in words is "one hundred twenty-six trillion, eight hundred sixty-nine billion, six hundred thirty-one million, four hundred seventy-nine thousand, one hundred thirty-six".