248251897656 has 128 divisors (see below), whose sum is σ = 815277312000. Its totient is φ = 68483270016.

The previous prime is 248251897637. The next prime is 248251897667. The reversal of 248251897656 is 656798152842.

248251897656 is a `hidden beast` number, since 2 + 48 + 2 + 518 + 9 + 76 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 248251897593 and 248251897602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2786976 + ... + 2874671.

It is an arithmetic number, because the mean of its divisors is an integer number (6369354000).

Almost surely, 2^248251897656 is an apocalyptic number.

It is an amenable number.

248251897656 is an abundant number, since it is smaller than the sum of its proper divisors (567025414344).

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

248251897656 is a wasteful number, since it uses less digits than its factorization.

248251897656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5661698 (or 5661688 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 248251897656 in words is "two hundred forty-eight billion, two hundred fifty-one million, eight hundred ninety-seven thousand, six hundred fifty-six".