109874366784 has 588 divisors, whose sum is σ = 409631816244. Its totient is φ = 28970016768.

The previous prime is 109874366773. The next prime is 109874366813. The reversal of 109874366784 is 487663478901.

It can be written as a sum of positive squares in 2 ways, for example, as 12859560000 + 97014806784 = 113400^2 + 311472^2 .

It is a tau number, because it is divible by the number of its divisors (588).

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 83 ways as a sum of consecutive naturals, for example, 29718024 + ... + 29721720.

Almost surely, 2^109874366784 is an apocalyptic number.

109874366784 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 109874366784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204815908122).

109874366784 is an abundant number, since it is smaller than the sum of its proper divisors (299757449460).

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

109874366784 is an equidigital number, since it uses as much as digits as its factorization.

109874366784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 109874366784 in words is "one hundred nine billion, eight hundred seventy-four million, three hundred sixty-six thousand, seven hundred eighty-four".