1361327615856 has 200 divisors, whose sum is σ = 4258831625664. Its totient is φ = 417322990080.

The previous prime is 1361327615827. The next prime is 1361327615861. The reversal of 1361327615856 is 6585167231631.

1361327615856 is a `hidden beast` number, since 1 + 3 + 6 + 13 + 2 + 7 + 615 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×1361327615856² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4416730 + ... + 4714886.

Almost surely, 2^{1361327615856} is an apocalyptic number.

1361327615856 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 1361327615856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129415812832).

1361327615856 is an abundant number, since it is smaller than the sum of its proper divisors (2897504009808).

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

1361327615856 is a wasteful number, since it uses less digits than its factorization.

1361327615856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298461 (or 298446 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 1361327615856 in words is "one trillion, three hundred sixty-one billion, three hundred twenty-seven million, six hundred fifteen thousand, eight hundred fifty-six".