251465446160 has 80 divisors (see below), whose sum is σ = 590906773296. Its totient is φ = 99511762944.

The previous prime is 251465446157. The next prime is 251465446171. The reversal of 251465446160 is 61644564152.

It can be written as a sum of positive squares in 8 ways, for example, as 10690732816 + 240774713344 = 103396^2 + 490688^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×251465446160² (a number of 24 digits) contains 22 as substring.

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, 30391784 + ... + 30400056.

Almost surely, 2^251465446160 is an apocalyptic number.

251465446160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251465446160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295453386648).

251465446160 is an abundant number, since it is smaller than the sum of its proper divisors (339441327136).

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

251465446160 is a wasteful number, since it uses less digits than its factorization.

251465446160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12300 (or 12294 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 251465446160 in words is "two hundred fifty-one billion, four hundred sixty-five million, four hundred forty-six thousand, one hundred sixty".