8014881954816 has 616 divisors, whose sum is σ = 26636993592048. Its totient is φ = 2388787200000.

The previous prime is 8014881954803. The next prime is 8014881954829. The reversal of 8014881954816 is 6184591884108.

8014881954816 is a `hidden beast` number, since 8 + 0 + 1 + 4 + 8 + 81 + 9 + 548 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (8014881954803) and next prime (8014881954829).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 500890816 + ... + 500906816.

Almost surely, 2^{8014881954816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8014881954816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13318496796024).

8014881954816 is an abundant number, since it is smaller than the sum of its proper divisors (18622111637232).

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

8014881954816 is a wasteful number, since it uses less digits than its factorization.

8014881954816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16111 (or 16078 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 63.

The spelling of 8014881954816 in words is "eight trillion, fourteen billion, eight hundred eighty-one million, nine hundred fifty-four thousand, eight hundred sixteen".