108638796816 has 225 divisors, whose sum is σ = 335919233455. Its totient is φ = 32775821760.

The previous prime is 108638796787. The next prime is 108638796817. The reversal of 108638796816 is 618697836801.

The square root of 108638796816 is 329604.

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

108638796816 is a `hidden beast` number, since 10 + 86 + 387 + 96 + 81 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108638796817) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 478584895 + ... + 478585121.

Almost surely, 2^108638796816 is an apocalyptic number.

108638796816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108638796816 is the 329604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108638796816

108638796816 is an abundant number, since it is smaller than the sum of its proper divisors (227280436639).

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

108638796816 is an frugal number, since it uses more digits than its factorization.

108638796816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 108638796816 in words is "one hundred eight billion, six hundred thirty-eight million, seven hundred ninety-six thousand, eight hundred sixteen".