109834880064 has 896 divisors, whose sum is σ = 392281989120. Its totient is φ = 26335051776.

The previous prime is 109834880063. The next prime is 109834880093. The reversal of 109834880064 is 460088438901.

It is a junction number, because it is equal to n+sod(n) for n = 109834879989 and 109834880016.

It is not an unprimeable number, because it can be changed into a prime (109834880063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1234099732 + ... + 1234099820.

It is an arithmetic number, because the mean of its divisors is an integer number (437814720).

Almost surely, 2^109834880064 is an apocalyptic number.

109834880064 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 109834880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196140994560).

109834880064 is an abundant number, since it is smaller than the sum of its proper divisors (282447109056).

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

109834880064 is a wasteful number, since it uses less digits than its factorization.

109834880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 109834880064 in words is "one hundred nine billion, eight hundred thirty-four million, eight hundred eighty thousand, sixty-four".