6456123414 has 256 divisors, whose sum is σ = 16878274560. Its totient is φ = 1813363200.

The previous prime is 6456123413. The next prime is 6456123419. The reversal of 6456123414 is 4143216546.

6456123414 is a `hidden beast` number, since 6 + 4 + 5 + 612 + 34 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6456123413) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60337549 + ... + 60337655.

It is an arithmetic number, because the mean of its divisors is an integer number (65930760).

Almost surely, 2^6456123414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6456123414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439137280).

6456123414 is an abundant number, since it is smaller than the sum of its proper divisors (10422151146).

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

6456123414 is a wasteful number, since it uses less digits than its factorization.

6456123414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 6456123414 is about 80350.0056876165. The cubic root of 6456123414 is about 1862.0468673727.

The spelling of 6456123414 in words is "six billion, four hundred fifty-six million, one hundred twenty-three thousand, four hundred fourteen".