128926956096 has 105 divisors (see below), whose sum is σ = 382256537619. Its totient is φ = 42967034496.

The previous prime is 128926956043. The next prime is 128926956097. The reversal of 128926956096 is 690659629821.

The square root of 128926956096 is 359064.

It is a perfect power (a square), and thus also a powerful number.

128926956096 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 2 + 69 + 560 + 9 + 6 = 666.

It is a super-2 number, since 2×128926956096² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (128926956097) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25850115 + ... + 25855101.

Almost surely, 2^128926956096 is an apocalyptic number.

128926956096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128926956096 is the 359064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128926956096

128926956096 is an abundant number, since it is smaller than the sum of its proper divisors (253329581523).

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

128926956096 is an frugal number, since it uses more digits than its factorization.

128926956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 128926956096 in words is "one hundred twenty-eight billion, nine hundred twenty-six million, nine hundred fifty-six thousand, ninety-six".