1363156182864 has 960 divisors, whose sum is σ = 5027383584000. Its totient is φ = 351151718400.

The previous prime is 1363156182827. The next prime is 1363156182907. The reversal of 1363156182864 is 4682816513631.

It is a happy number.

1363156182864 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 15 + 618 + 2 + 8 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1363156182864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 851439664 + ... + 851441264.

It is an arithmetic number, because the mean of its divisors is an integer number (5236857900).

Almost surely, 2^{1363156182864} is an apocalyptic number.

1363156182864 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 1363156182864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513691792000).

1363156182864 is an abundant number, since it is smaller than the sum of its proper divisors (3664227401136).

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

1363156182864 is a wasteful number, since it uses less digits than its factorization.

1363156182864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1734 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 1363156182864 in words is "one trillion, three hundred sixty-three billion, one hundred fifty-six million, one hundred eighty-two thousand, eight hundred sixty-four".