109920964608 has 936 divisors, whose sum is σ = 413310782976. Its totient is φ = 27869184000.

The previous prime is 109920964603. The next prime is 109920964619. The reversal of 109920964608 is 806469029901.

109920964608 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 20 + 9 + 6 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109920964603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 727953333 + ... + 727953483.

Almost surely, 2^109920964608 is an apocalyptic number.

109920964608 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 109920964608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206655391488).

109920964608 is an abundant number, since it is smaller than the sum of its proper divisors (303389818368).

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

109920964608 is a wasteful number, since it uses less digits than its factorization.

109920964608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 109920964608 in words is "one hundred nine billion, nine hundred twenty million, nine hundred sixty-four thousand, six hundred eight".