1305616331656 has 96 divisors (see below), whose sum is σ = 3030964876800. Its totient is φ = 516260459520.

The previous prime is 1305616331641. The next prime is 1305616331687. The reversal of 1305616331656 is 6561336165031.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20419785 + ... + 20483623.

It is an arithmetic number, because the mean of its divisors is an integer number (31572550800).

Almost surely, 2^{1305616331656} 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 1305616331656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515482438400).

1305616331656 is an abundant number, since it is smaller than the sum of its proper divisors (1725348545144).

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

1305616331656 is a wasteful number, since it uses less digits than its factorization.

1305616331656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66039 (or 66022 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 46.

The spelling of 1305616331656 in words is "one trillion, three hundred five billion, six hundred sixteen million, three hundred thirty-one thousand, six hundred fifty-six".