351431023104 has 360 divisors, whose sum is σ = 1182968551908. Its totient is φ = 100143267840.

The previous prime is 351431023051. The next prime is 351431023171. The reversal of 351431023104 is 401320134153.

It is a happy number.

351431023104 is a `hidden beast` number, since 35 + 1 + 4 + 310 + 2 + 310 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 239661160704 + 111769862400 = 489552^2 + 334320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95056584 + ... + 95060280.

Almost surely, 2^351431023104 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 351431023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591484275954).

351431023104 is an abundant number, since it is smaller than the sum of its proper divisors (831537528804).

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

351431023104 is a wasteful number, since it uses less digits than its factorization.

351431023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 351431023104 its reverse (401320134153), we get a palindrome (752751157257).

The spelling of 351431023104 in words is "three hundred fifty-one billion, four hundred thirty-one million, twenty-three thousand, one hundred four".