108438999588864 has 2240 divisors, whose sum is σ = 395326770432000. Its totient is φ = 29581020758016.

The previous prime is 108438999588809. The next prime is 108438999588937. The reversal of 108438999588864 is 468885999834801.

108438999588864 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 389 + 9 + 95 + 8 + 88 + 64 = 666.

It is a super-2 number, since 2×108438999588864² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 665269936047 + ... + 665269936209.

Almost surely, 2^{108438999588864} is an apocalyptic number.

108438999588864 is a gapful number since it is divisible by the number (14) 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 108438999588864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197663385216000).

108438999588864 is an abundant number, since it is smaller than the sum of its proper divisors (286887770843136).

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

108438999588864 is an frugal number, since it uses more digits than its factorization.

108438999588864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 34398535680, while the sum is 90.

The spelling of 108438999588864 in words is "one hundred eight trillion, four hundred thirty-eight billion, nine hundred ninety-nine million, five hundred eighty-eight thousand, eight hundred sixty-four".