109768696128 has 630 divisors, whose sum is σ = 410029946766. Its totient is φ = 28938663936.

The previous prime is 109768696117. The next prime is 109768696133. The reversal of 109768696128 is 821696867901.

109768696128 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 6 + 8 + 6 + 9 + 612 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 122943744 + 109645752384 = 11088^2 + 331128^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 42927426 + ... + 42929982.

Almost surely, 2^109768696128 is an apocalyptic number.

109768696128 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 109768696128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205014973383).

109768696128 is an abundant number, since it is smaller than the sum of its proper divisors (300261250638).

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

109768696128 is a wasteful number, since it uses less digits than its factorization.

109768696128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 109768696128 in words is "one hundred nine billion, seven hundred sixty-eight million, six hundred ninety-six thousand, one hundred twenty-eight".