8408961181656 has 160 divisors (see below), whose sum is σ = 27078759671040. Its totient is φ = 2388173533632.

The previous prime is 8408961181639. The next prime is 8408961181679. The reversal of 8408961181656 is 6561811698048.

8408961181656 is a `hidden beast` number, since 8 + 4 + 0 + 8 + 9 + 611 + 8 + 1 + 6 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8408961181593 and 8408961181602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4792870 + ... + 6307893.

It is an arithmetic number, because the mean of its divisors is an integer number (169242247944).

Almost surely, 2^{8408961181656} is an apocalyptic number.

It is an amenable number.

8408961181656 is an abundant number, since it is smaller than the sum of its proper divisors (18669798489384).

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

8408961181656 is a wasteful number, since it uses less digits than its factorization.

8408961181656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100955 (or 11100942 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 8408961181656 in words is "eight trillion, four hundred eight billion, nine hundred sixty-one million, one hundred eighty-one thousand, six hundred fifty-six".