625151730848256 has 480 divisors, whose sum is σ = 2033501639083200. Its totient is φ = 183715890462720.

The previous prime is 625151730848213. The next prime is 625151730848257. The reversal of 625151730848256 is 652848037151526.

625151730848256 is a `hidden beast` number, since 6 + 2 + 5 + 1 + 517 + 30 + 8 + 4 + 82 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 625151730848193 and 625151730848202.

It is not an unprimeable number, because it can be changed into a prime (625151730848257) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 130106511 + ... + 134825841.

It is an arithmetic number, because the mean of its divisors is an integer number (4236461748090).

Almost surely, 2^{625151730848256} 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 625151730848256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016750819541600).

625151730848256 is an abundant number, since it is smaller than the sum of its proper divisors (1408349908234944).

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

625151730848256 is a wasteful number, since it uses less digits than its factorization.

625151730848256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719480 (or 4719461 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 625151730848256 in words is "six hundred twenty-five trillion, one hundred fifty-one billion, seven hundred thirty million, eight hundred forty-eight thousand, two hundred fifty-six".