108628362864 has 480 divisors, whose sum is σ = 381479155200. Its totient is φ = 28153681920.

The previous prime is 108628362853. The next prime is 108628362889. The reversal of 108628362864 is 468263826801.

108628362864 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 2 + 8 + 3 + 628 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 108628362864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72757702 + ... + 72759194.

It is an arithmetic number, because the mean of its divisors is an integer number (794748240).

Almost surely, 2^108628362864 is an apocalyptic number.

108628362864 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 108628362864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190739577600).

108628362864 is an abundant number, since it is smaller than the sum of its proper divisors (272850792336).

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

108628362864 is a wasteful number, since it uses less digits than its factorization.

108628362864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 108628362864 in words is "one hundred eight billion, six hundred twenty-eight million, three hundred sixty-two thousand, eight hundred sixty-four".