8281314961920 has 5040 divisors, whose sum is σ = 41801295545856. Its totient is φ = 1537184563200.

The previous prime is 8281314961901. The next prime is 8281314961937. The reversal of 8281314961920 is 291694131828.

It is a happy number.

8281314961920 is a `hidden beast` number, since 8 + 2 + 8 + 1 + 3 + 14 + 9 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 267139192305 + ... + 267139192335.

Almost surely, 2^{8281314961920} is an apocalyptic number.

8281314961920 is a gapful number since it is divisible by the number (80) 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 8281314961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20900647772928).

8281314961920 is an abundant number, since it is smaller than the sum of its proper divisors (33519980583936).

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

8281314961920 is a wasteful number, since it uses less digits than its factorization.

8281314961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 8281314961920 in words is "eight trillion, two hundred eighty-one billion, three hundred fourteen million, nine hundred sixty-one thousand, nine hundred twenty".