109918964736 has 660 divisors, whose sum is σ = 389589854544. Its totient is φ = 30238064640.

The previous prime is 109918964717. The next prime is 109918964737. The reversal of 109918964736 is 637469819901.

109918964736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109918964737) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 557964190 + ... + 557964386.

Almost surely, 2^109918964736 is an apocalyptic number.

109918964736 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 109918964736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194794927272).

109918964736 is an abundant number, since it is smaller than the sum of its proper divisors (279670889808).

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

109918964736 is an equidigital number, since it uses as much as digits as its factorization.

109918964736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 109918964736 in words is "one hundred nine billion, nine hundred eighteen million, nine hundred sixty-four thousand, seven hundred thirty-six".