126832656384 has 840 divisors, whose sum is σ = 457277378208. Its totient is φ = 34398535680.

The previous prime is 126832656367. The next prime is 126832656397. The reversal of 126832656384 is 483656238621.

126832656384 is a `hidden beast` number, since 1 + 268 + 326 + 56 + 3 + 8 + 4 = 666.

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

Its product of digits (9953280) is a multiple of the sum of its prime divisors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 126832656384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3093479404 + ... + 3093479444.

Almost surely, 2^126832656384 is an apocalyptic number.

126832656384 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 126832656384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228638689104).

126832656384 is an abundant number, since it is smaller than the sum of its proper divisors (330444721824).

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

126832656384 is an frugal number, since it uses more digits than its factorization.

126832656384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 126832656384 in words is "one hundred twenty-six billion, eight hundred thirty-two million, six hundred fifty-six thousand, three hundred eighty-four".