1168974886464 has 672 divisors, whose sum is σ = 4281674342400. Its totient is φ = 302279040000.

The previous prime is 1168974886459. The next prime is 1168974886483. The reversal of 1168974886464 is 4646884798611.

1168974886464 is a `hidden beast` number, since 1 + 1 + 6 + 89 + 7 + 4 + 8 + 86 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1168974886392 and 1168974886401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 545484177 + ... + 545486319.

It is an arithmetic number, because the mean of its divisors is an integer number (6371539200).

Almost surely, 2^{1168974886464} is an apocalyptic number.

1168974886464 is a gapful number since it is divisible by the number (14) 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 1168974886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140837171200).

1168974886464 is an abundant number, since it is smaller than the sum of its proper divisors (3112699455936).

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

1168974886464 is a wasteful number, since it uses less digits than its factorization.

1168974886464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2417 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 1168974886464 in words is "one trillion, one hundred sixty-eight billion, nine hundred seventy-four million, eight hundred eighty-six thousand, four hundred sixty-four".