8014689448920 has 1280 divisors, whose sum is σ = 35324698337280. Its totient is φ = 1581178060800.

The previous prime is 8014689448861. The next prime is 8014689448933. The reversal of 8014689448920 is 298449864108.

8014689448920 is a `hidden beast` number, since 8 + 0 + 1 + 4 + 68 + 94 + 489 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 409885864 + ... + 409905416.

It is an arithmetic number, because the mean of its divisors is an integer number (27597420576).

Almost surely, 2^{8014689448920} 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 8014689448920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662349168640).

8014689448920 is an abundant number, since it is smaller than the sum of its proper divisors (27310008888360).

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

8014689448920 is a wasteful number, since it uses less digits than its factorization.

8014689448920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19678 (or 19665 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 8014689448920 in words is "eight trillion, fourteen billion, six hundred eighty-nine million, four hundred forty-eight thousand, nine hundred twenty".