108861824348928 has 1620 divisors, whose sum is σ = 388863381684960. Its totient is φ = 29252531331072.

The previous prime is 108861824348911. The next prime is 108861824349007. The reversal of 108861824348928 is 829843428168801.

108861824348928 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 6 + 1 + 82 + 43 + 489 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 296626224201 + ... + 296626224567.

Almost surely, 2^{108861824348928} is an apocalyptic number.

108861824348928 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 108861824348928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194431690842480).

108861824348928 is an abundant number, since it is smaller than the sum of its proper divisors (280001557336032).

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

108861824348928 is an frugal number, since it uses more digits than its factorization.

108861824348928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 72.

The spelling of 108861824348928 in words is "one hundred eight trillion, eight hundred sixty-one billion, eight hundred twenty-four million, three hundred forty-eight thousand, nine hundred twenty-eight".