1316179008144 has 960 divisors, whose sum is σ = 5380244531200. Its totient is φ = 298938055680.

The previous prime is 1316179008127. The next prime is 1316179008161. The reversal of 1316179008144 is 4418009716131.

1316179008144 is a `hidden beast` number, since 13 + 1 + 617 + 9 + 0 + 0 + 8 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1316179008127) and next prime (1316179008161).

It is a self number, because there is not a number n which added to its sum of digits gives 1316179008144.

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, 90371007 + ... + 90385569.

Almost surely, 2^{1316179008144} is an apocalyptic number.

1316179008144 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 1316179008144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690122265600).

1316179008144 is an abundant number, since it is smaller than the sum of its proper divisors (4064065523056).

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

1316179008144 is a wasteful number, since it uses less digits than its factorization.

1316179008144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14641 (or 14618 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1316179008144 in words is "one trillion, three hundred sixteen billion, one hundred seventy-nine million, eight thousand, one hundred forty-four".