1361316776064 has 256 divisors, whose sum is σ = 4212400896000. Its totient is φ = 381464838144.

The previous prime is 1361316776051. The next prime is 1361316776101. The reversal of 1361316776064 is 4606776131631.

It is a junction number, because it is equal to n+sod(n) for n = 1361316775998 and 1361316776016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69612112 + ... + 69631664.

It is an arithmetic number, because the mean of its divisors is an integer number (16454691000).

Almost surely, 2^{1361316776064} is an apocalyptic number.

1361316776064 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 1361316776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106200448000).

1361316776064 is an abundant number, since it is smaller than the sum of its proper divisors (2851084119936).

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

1361316776064 is a wasteful number, since it uses less digits than its factorization.

1361316776064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20075 (or 20063 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 1361316776064 in words is "one trillion, three hundred sixty-one billion, three hundred sixteen million, seven hundred seventy-six thousand, sixty-four".