431256360663160 has 256 divisors, whose sum is σ = 1033082663500800. Its totient is φ = 161461494374400.

The previous prime is 431256360663157. The next prime is 431256360663187. The reversal of 431256360663160 is 61366063652134.

It is a super-2 number, since 2×431256360663160² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431256360663098 and 431256360663107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140887408030 + ... + 140887411090.

It is an arithmetic number, because the mean of its divisors is an integer number (4035479154300).

Almost surely, 2^{431256360663160} is an apocalyptic number.

431256360663160 is a gapful number since it is divisible by the number (40) 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 431256360663160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516541331750400).

431256360663160 is an abundant number, since it is smaller than the sum of its proper divisors (601826302837640).

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

431256360663160 is a wasteful number, since it uses less digits than its factorization.

431256360663160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 52.

The spelling of 431256360663160 in words is "four hundred thirty-one trillion, two hundred fifty-six billion, three hundred sixty million, six hundred sixty-three thousand, one hundred sixty".