1316181709872 has 300 divisors, whose sum is σ = 3945009402048. Its totient is φ = 423631814400.

The previous prime is 1316181709837. The next prime is 1316181709873. The reversal of 1316181709872 is 2789071816131.

1316181709872 is a `hidden beast` number, since 1 + 3 + 1 + 618 + 17 + 0 + 9 + 8 + 7 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1316181709873) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 755990922 + ... + 755992662.

Almost surely, 2^{1316181709872} is an apocalyptic number.

1316181709872 is a gapful number since it is divisible by the number (12) 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 1316181709872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972504701024).

1316181709872 is an abundant number, since it is smaller than the sum of its proper divisors (2628827692176).

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

1316181709872 is a wasteful number, since it uses less digits than its factorization.

1316181709872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 1316181709872 in words is "one trillion, three hundred sixteen billion, one hundred eighty-one million, seven hundred nine thousand, eight hundred seventy-two".