250873794288016 has 135 divisors (see below), whose sum is σ = 513232353820641. Its totient is φ = 118787908369152.

The previous prime is 250873794288011. The next prime is 250873794288251. The reversal of 250873794288016 is 610882497378052.

The square root of 250873794288016 is 15838996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 245292104534416 + 5581689753600 = 15661804^2 + 2362560^2 .

It is a super-2 number, since 2×250873794288016² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (250873794288011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 155919075820 + ... + 155919077428.

It is a 1-persistent number, because it is pandigital, but 2⋅250873794288016 = 501747588576032 is not.

Almost surely, 2^{250873794288016} is an apocalyptic number.

250873794288016 is the 15838996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250873794288016

250873794288016 is an abundant number, since it is smaller than the sum of its proper divisors (262358559532625).

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

250873794288016 is an frugal number, since it uses more digits than its factorization.

250873794288016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 70.

The spelling of 250873794288016 in words is "two hundred fifty trillion, eight hundred seventy-three billion, seven hundred ninety-four million, two hundred eighty-eight thousand, sixteen".