250131396816 has 720 divisors, whose sum is σ = 893835790848. Its totient is φ = 67408588800.

The previous prime is 250131396797. The next prime is 250131396817. The reversal of 250131396816 is 618693131052.

250131396816 is a `hidden beast` number, since 2 + 50 + 131 + 396 + 81 + 6 = 666.

It is a super-3 number, since 3×250131396816³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250131396817) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 242140236 + ... + 242141268.

Almost surely, 2^250131396816 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 250131396816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446917895424).

250131396816 is an abundant number, since it is smaller than the sum of its proper divisors (643704394032).

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

250131396816 is a wasteful number, since it uses less digits than its factorization.

250131396816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 250131396816 in words is "two hundred fifty billion, one hundred thirty-one million, three hundred ninety-six thousand, eight hundred sixteen".