315141234345 has 192 divisors, whose sum is σ = 676274227200. Its totient is φ = 132544097280.

The previous prime is 315141234319. The next prime is 315141234361. The reversal of 315141234345 is 543432141513.

315141234345 is a `hidden beast` number, since 31 + 51 + 4 + 1 + 234 + 345 = 666.

It is not a de Polignac number, because 315141234345 - 2⁵ = 315141234313 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46063125 + ... + 46069965.

It is an arithmetic number, because the mean of its divisors is an integer number (3522261600).

Almost surely, 2^315141234345 is an apocalyptic number.

315141234345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

315141234345 is an abundant number, since it is smaller than the sum of its proper divisors (361132992855).

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

315141234345 is a wasteful number, since it uses less digits than its factorization.

315141234345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7100 (or 7097 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 315141234345 its reverse (543432141513), we get a palindrome (858573375858).

The spelling of 315141234345 in words is "three hundred fifteen billion, one hundred forty-one million, two hundred thirty-four thousand, three hundred forty-five".