6121565318656 has 160 divisors (see below), whose sum is σ = 13624334460000. Its totient is φ = 2734251835392.

The previous prime is 6121565318621. The next prime is 6121565318677. The reversal of 6121565318656 is 6568135651216.

It is a junction number, because it is equal to n+sod(n) for n = 6121565318597 and 6121565318606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14687020 + ... + 15098068.

It is an arithmetic number, because the mean of its divisors is an integer number (85152090375).

Almost surely, 2^{6121565318656} 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 6121565318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812167230000).

6121565318656 is an abundant number, since it is smaller than the sum of its proper divisors (7502769141344).

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

6121565318656 is a wasteful number, since it uses less digits than its factorization.

6121565318656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411172 (or 411156 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 55.

The spelling of 6121565318656 in words is "six trillion, one hundred twenty-one billion, five hundred sixty-five million, three hundred eighteen thousand, six hundred fifty-six".