251985746656 has 24 divisors (see below), whose sum is σ = 566967930480. Its totient is φ = 107993891328.

The previous prime is 251985746587. The next prime is 251985746659. The reversal of 251985746656 is 656647589152.

251985746656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251985746659) 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 3 ways as a sum of consecutive naturals, for example, 562467961 + ... + 562468408.

It is an arithmetic number, because the mean of its divisors is an integer number (23623663770).

Almost surely, 2^251985746656 is an apocalyptic number.

It is an amenable number.

251985746656 is an abundant number, since it is smaller than the sum of its proper divisors (314982183824).

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

251985746656 is a wasteful number, since it uses less digits than its factorization.

251985746656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124936386 (or 1124936378 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 64.

The spelling of 251985746656 in words is "two hundred fifty-one billion, nine hundred eighty-five million, seven hundred forty-six thousand, six hundred fifty-six".