109618983936 has 1056 divisors, whose sum is σ = 423753236480. Its totient is φ = 27371520000.

The previous prime is 109618983923. The next prime is 109618983937. The reversal of 109618983936 is 639389816901.

109618983936 is a `hidden beast` number, since 1 + 0 + 9 + 618 + 9 + 8 + 3 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×109618983936² (a number of 23 digits) contains 22 as substring.

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 (109618983937) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 725953461 + ... + 725953611.

Almost surely, 2^109618983936 is an apocalyptic number.

109618983936 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 109618983936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211876618240).

109618983936 is an abundant number, since it is smaller than the sum of its proper divisors (314134252544).

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

109618983936 is a wasteful number, since it uses less digits than its factorization.

109618983936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 109618983936 in words is "one hundred nine billion, six hundred eighteen million, nine hundred eighty-three thousand, nine hundred thirty-six".