1361253667656 has 128 divisors (see below), whose sum is σ = 3610454630400. Its totient is φ = 426772558080.

The previous prime is 1361253667643. The next prime is 1361253667687. The reversal of 1361253667656 is 6567663521631.

It is a junction number, because it is equal to n+sod(n) for n = 1361253667596 and 1361253667605.

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, 190142205 + ... + 190149363.

It is an arithmetic number, because the mean of its divisors is an integer number (28206676800).

Almost surely, 2^{1361253667656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361253667656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805227315200).

1361253667656 is an abundant number, since it is smaller than the sum of its proper divisors (2249200962744).

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

1361253667656 is a wasteful number, since it uses less digits than its factorization.

1361253667656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12899 (or 12895 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 57.

The spelling of 1361253667656 in words is "one trillion, three hundred sixty-one billion, two hundred fifty-three million, six hundred sixty-seven thousand, six hundred fifty-six".