109963865664 has 189 divisors, whose sum is σ = 324028167411. Its totient is φ = 35654492160.

The previous prime is 109963865597. The next prime is 109963865677. The reversal of 109963865664 is 466568369901.

The square root of 109963865664 is 331608.

It is a perfect power (a square), and thus also a powerful number.

109963865664 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 63 + 8 + 6 + 566 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56968142400 + 52995723264 = 238680^2 + 230208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 326302104 + ... + 326302440.

Almost surely, 2^109963865664 is an apocalyptic number.

109963865664 is the 331608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109963865664

109963865664 is an abundant number, since it is smaller than the sum of its proper divisors (214064301747).

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

109963865664 is an frugal number, since it uses more digits than its factorization.

109963865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 109963865664 in words is "one hundred nine billion, nine hundred sixty-three million, eight hundred sixty-five thousand, six hundred sixty-four".