126836434792368 has 960 divisors, whose sum is σ = 434512913203200. Its totient is φ = 34480690675200.

The previous prime is 126836434792321. The next prime is 126836434792411. The reversal of 126836434792368 is 863297434638621.

126836434792368 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 36 + 43 + 479 + 23 + 68 = 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 junction number, because it is equal to n+sod(n) for n = 126836434792296 and 126836434792305.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80736113023 + ... + 80736114593.

It is an arithmetic number, because the mean of its divisors is an integer number (452617617920).

Almost surely, 2^{126836434792368} is an apocalyptic number.

126836434792368 is a gapful number since it is divisible by the number (18) 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 126836434792368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217256456601600).

126836434792368 is an abundant number, since it is smaller than the sum of its proper divisors (307676478410832).

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

126836434792368 is a wasteful number, since it uses less digits than its factorization.

126836434792368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2468 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 72.

The spelling of 126836434792368 in words is "one hundred twenty-six trillion, eight hundred thirty-six billion, four hundred thirty-four million, seven hundred ninety-two thousand, three hundred sixty-eight".