126013908384 has 480 divisors, whose sum is σ = 465478675200. Its totient is φ = 33231389184.

The previous prime is 126013908367. The next prime is 126013908437. The reversal of 126013908384 is 483809310621.

126013908384 is a `hidden beast` number, since 1 + 2 + 601 + 3 + 9 + 0 + 8 + 38 + 4 = 666.

It is a super-2 number, since 2×126013908384² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11552277 + ... + 11563179.

It is an arithmetic number, because the mean of its divisors is an integer number (969747240).

Almost surely, 2^126013908384 is an apocalyptic number.

126013908384 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 126013908384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232739337600).

126013908384 is an abundant number, since it is smaller than the sum of its proper divisors (339464766816).

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

126013908384 is a wasteful number, since it uses less digits than its factorization.

126013908384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10959 (or 10928 counting only the distinct ones).

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

The spelling of 126013908384 in words is "one hundred twenty-six billion, thirteen million, nine hundred eight thousand, three hundred eighty-four".