995683647168 has 1344 divisors, whose sum is σ = 3715653427200. Its totient is φ = 253609574400.

The previous prime is 995683647097. The next prime is 995683647181. The reversal of 995683647168 is 861746386599.

995683647168 is a `hidden beast` number, since 9 + 9 + 5 + 68 + 36 + 471 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 995683647096 and 995683647105.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7600638463 + ... + 7600638593.

Almost surely, 2^995683647168 is an apocalyptic number.

995683647168 is a gapful number since it is divisible by the number (98) 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 995683647168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857826713600).

995683647168 is an abundant number, since it is smaller than the sum of its proper divisors (2719969780032).

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

995683647168 is a wasteful number, since it uses less digits than its factorization.

995683647168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 264 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 995683647168 in words is "nine hundred ninety-five billion, six hundred eighty-three million, six hundred forty-seven thousand, one hundred sixty-eight".