6121766717456 has 80 divisors (see below), whose sum is σ = 12868185758400. Its totient is φ = 2804500468224.

The previous prime is 6121766717441. The next prime is 6121766717501. The reversal of 6121766717456 is 6547176671216.

It is a super-2 number, since 2×6121766717456² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6121766717395 and 6121766717404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20215610 + ... + 20516198.

It is an arithmetic number, because the mean of its divisors is an integer number (160852321980).

Almost surely, 2^{6121766717456} 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 6121766717456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434092879200).

6121766717456 is an abundant number, since it is smaller than the sum of its proper divisors (6746419040944).

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

6121766717456 is a wasteful number, since it uses less digits than its factorization.

6121766717456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301336 (or 301330 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 59.

The spelling of 6121766717456 in words is "six trillion, one hundred twenty-one billion, seven hundred sixty-six million, seven hundred seventeen thousand, four hundred fifty-six".