6121017456 has 80 divisors (see below), whose sum is σ = 16413616128. Its totient is φ = 1963526400.

The previous prime is 6121017451. The next prime is 6121017479. The reversal of 6121017456 is 6547101216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6121017451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257965 + ... + 280691.

Almost surely, 2^6121017456 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 6121017456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8206808064).

6121017456 is an abundant number, since it is smaller than the sum of its proper divisors (10292598672).

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

6121017456 is a wasteful number, since it uses less digits than its factorization.

6121017456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22950 (or 22944 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 6121017456 is about 78236.9315349215. The cubic root of 6121017456 is about 1829.2562153999.

The spelling of 6121017456 in words is "six billion, one hundred twenty-one million, seventeen thousand, four hundred fifty-six".