1365111968256 has 400 divisors, whose sum is σ = 4268148749568. Its totient is φ = 433564876800.

The previous prime is 1365111968249. The next prime is 1365111968267. The reversal of 1365111968256 is 6528691115631.

It is a happy number.

1365111968256 is a `hidden beast` number, since 1 + 3 + 6 + 511 + 19 + 68 + 2 + 56 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 258492336 + ... + 258497616.

Almost surely, 2^{1365111968256} is an apocalyptic number.

1365111968256 is a gapful number since it is divisible by the number (16) 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 1365111968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134074374784).

1365111968256 is an abundant number, since it is smaller than the sum of its proper divisors (2903036781312).

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

1365111968256 is an equidigital number, since it uses as much as digits as its factorization.

1365111968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5580 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 1365111968256 in words is "one trillion, three hundred sixty-five billion, one hundred eleven million, nine hundred sixty-eight thousand, two hundred fifty-six".