251782425145664 has 112 divisors (see below), whose sum is σ = 573787067141376. Its totient is φ = 107382178099200.

The previous prime is 251782425145651. The next prime is 251782425145703. The reversal of 251782425145664 is 466541524287152.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×251782425145664² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 251782425145597 and 251782425145606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109736924 + ... + 112007844.

Almost surely, 2^{251782425145664} 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 251782425145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286893533570688).

251782425145664 is an abundant number, since it is smaller than the sum of its proper divisors (322004641995712).

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

251782425145664 is a wasteful number, since it uses less digits than its factorization.

251782425145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272144 (or 2272134 counting only the distinct ones).

The product of its digits is 129024000, while the sum is 62.

The spelling of 251782425145664 in words is "two hundred fifty-one trillion, seven hundred eighty-two billion, four hundred twenty-five million, one hundred forty-five thousand, six hundred sixty-four".