425658844947456 has 1056 divisors, whose sum is σ = 1340745243788288. Its totient is φ = 129785675120640.

The previous prime is 425658844947353. The next prime is 425658844947461. The reversal of 425658844947456 is 654749448856524.

425658844947456 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 5 + 8 + 8 + 4 + 494 + 74 + 56 = 666.

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 95 ways as a sum of consecutive naturals, for example, 51701543916 + ... + 51701552148.

Almost surely, 2^{425658844947456} 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 425658844947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670372621894144).

425658844947456 is an abundant number, since it is smaller than the sum of its proper divisors (915086398840832).

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

425658844947456 is a wasteful number, since it uses less digits than its factorization.

425658844947456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467 (or 8446 counting only the distinct ones).

The product of its digits is 37158912000, while the sum is 81.

The spelling of 425658844947456 in words is "four hundred twenty-five trillion, six hundred fifty-eight billion, eight hundred forty-four million, nine hundred forty-seven thousand, four hundred fifty-six".