1361527115616 has 240 divisors, whose sum is σ = 4183201870848. Its totient is φ = 433908576000.

The previous prime is 1361527115609. The next prime is 1361527115621. The reversal of 1361527115616 is 6165117251631.

1361527115616 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 5 + 27 + 1 + 1 + 5 + 616 = 666.

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, 6567141 + ... + 6771291.

Almost surely, 2^{1361527115616} is an apocalyptic number.

1361527115616 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 1361527115616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091600935424).

1361527115616 is an abundant number, since it is smaller than the sum of its proper divisors (2821674755232).

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

1361527115616 is a wasteful number, since it uses less digits than its factorization.

1361527115616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204287 (or 204270 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The spelling of 1361527115616 in words is "one trillion, three hundred sixty-one billion, five hundred twenty-seven million, one hundred fifteen thousand, six hundred sixteen".