8661814028064 has 144 divisors (see below), whose sum is σ = 25439554393344. Its totient is φ = 2792711692800.

The previous prime is 8661814028011. The next prime is 8661814028099. The reversal of 8661814028064 is 4608204181668.

It is a happy number.

8661814028064 is a `hidden beast` number, since 8 + 6 + 618 + 14 + 0 + 2 + 8 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8661814028064.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17369079 + ... + 17860809.

It is an arithmetic number, because the mean of its divisors is an integer number (176663572176).

Almost surely, 2^{8661814028064} 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 8661814028064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719777196672).

8661814028064 is an abundant number, since it is smaller than the sum of its proper divisors (16777740365280).

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

8661814028064 is a wasteful number, since it uses less digits than its factorization.

8661814028064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493751 (or 493740 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 8661814028064 in words is "eight trillion, six hundred sixty-one billion, eight hundred fourteen million, twenty-eight thousand, sixty-four".