251033094792768 has 224 divisors, whose sum is σ = 678220395753600. Its totient is φ = 81917386670080.

The previous prime is 251033094792761. The next prime is 251033094792769. The reversal of 251033094792768 is 867297490330152.

It is a super-2 number, since 2×251033094792768² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 251033094792699 and 251033094792708.

It is not an unprimeable number, because it can be changed into a prime (251033094792761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33395379346 + ... + 33395386862.

It is an arithmetic number, because the mean of its divisors is an integer number (3027769623900).

It is a 1-persistent number, because it is pandigital, but 2⋅251033094792768 = 502066189585536 is not.

Almost surely, 2^{251033094792768} 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 251033094792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339110197876800).

251033094792768 is an abundant number, since it is smaller than the sum of its proper divisors (427187300960832).

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

251033094792768 is a wasteful number, since it uses less digits than its factorization.

251033094792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14405 (or 14395 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 251033094792768 in words is "two hundred fifty-one trillion, thirty-three billion, ninety-four million, seven hundred ninety-two thousand, seven hundred sixty-eight".