108935871408 has 640 divisors, whose sum is σ = 403174195200. Its totient is φ = 27390182400.

The previous prime is 108935871367. The next prime is 108935871449. The reversal of 108935871408 is 804178539801.

108935871408 is a `hidden beast` number, since 10 + 8 + 9 + 3 + 587 + 1 + 40 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (108935871367) and next prime (108935871449).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86525083 + ... + 86526341.

It is an arithmetic number, because the mean of its divisors is an integer number (629959680).

Almost surely, 2^108935871408 is an apocalyptic number.

108935871408 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 108935871408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201587097600).

108935871408 is an abundant number, since it is smaller than the sum of its proper divisors (294238323792).

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

108935871408 is a wasteful number, since it uses less digits than its factorization.

108935871408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 108935871408 in words is "one hundred eight billion, nine hundred thirty-five million, eight hundred seventy-one thousand, four hundred eight".