126908993376 has 864 divisors, whose sum is σ = 448953523200. Its totient is φ = 35103974400.

The previous prime is 126908993371. The next prime is 126908993401. The reversal of 126908993376 is 673399809621.

126908993376 is a `hidden beast` number, since 12 + 6 + 90 + 89 + 93 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×126908993376² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126908993371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 554187630 + ... + 554187858.

Almost surely, 2^126908993376 is an apocalyptic number.

126908993376 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 126908993376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224476761600).

126908993376 is an abundant number, since it is smaller than the sum of its proper divisors (322044529824).

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

126908993376 is a wasteful number, since it uses less digits than its factorization.

126908993376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 126908993376 in words is "one hundred twenty-six billion, nine hundred eight million, nine hundred ninety-three thousand, three hundred seventy-six".