108314577840 has 320 divisors, whose sum is σ = 403606167552. Its totient is φ = 23506329600.

The previous prime is 108314577827. The next prime is 108314577887. The reversal of 108314577840 is 48775413801.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 108314577840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2740620 + ... + 2779860.

Almost surely, 2^108314577840 is an apocalyptic number.

108314577840 is a gapful number since it is divisible by the number (10) 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 108314577840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201803083776).

108314577840 is an abundant number, since it is smaller than the sum of its proper divisors (295291589712).

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

108314577840 is a wasteful number, since it uses less digits than its factorization.

108314577840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39348 (or 39342 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 108314577840 in words is "one hundred eight billion, three hundred fourteen million, five hundred seventy-seven thousand, eight hundred forty".