109468628983296 has 320 divisors, whose sum is σ = 354063822393600. Its totient is φ = 33118693171200.

The previous prime is 109468628983171. The next prime is 109468628983319. The reversal of 109468628983296 is 692389826864901.

109468628983296 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 6 + 8 + 6 + 289 + 8 + 329 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93546126 + ... + 94709106.

It is an arithmetic number, because the mean of its divisors is an integer number (1106449444980).

Almost surely, 2^{109468628983296} is an apocalyptic number.

109468628983296 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 109468628983296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177031911196800).

109468628983296 is an abundant number, since it is smaller than the sum of its proper divisors (244595193410304).

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

109468628983296 is a wasteful number, since it uses less digits than its factorization.

109468628983296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163638 (or 1163616 counting only the distinct ones).

The product of its (nonzero) digits is 3869835264, while the sum is 81.

The spelling of 109468628983296 in words is "one hundred nine trillion, four hundred sixty-eight billion, six hundred twenty-eight million, nine hundred eighty-three thousand, two hundred ninety-six".