109997439418368 has 768 divisors, whose sum is σ = 343752801163200. Its totient is φ = 33802294394880.

The previous prime is 109997439418367. The next prime is 109997439418379. The reversal of 109997439418368 is 863814934799901.

109997439418368 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 9 + 7 + 439 + 41 + 83 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109997439418367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27355740198 + ... + 27355744218.

Almost surely, 2^{109997439418368} is an apocalyptic number.

109997439418368 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 109997439418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171876400581600).

109997439418368 is an abundant number, since it is smaller than the sum of its proper divisors (233755361744832).

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

109997439418368 is a wasteful number, since it uses less digits than its factorization.

109997439418368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 2539579392, while the sum is 81.

The spelling of 109997439418368 in words is "one hundred nine trillion, nine hundred ninety-seven billion, four hundred thirty-nine million, four hundred eighteen thousand, three hundred sixty-eight".