345713145337 has 24 divisors (see below), whose sum is σ = 420234004800. Its totient is φ = 283041402336.

The previous prime is 345713145331. The next prime is 345713145343. The reversal of 345713145337 is 733541317543.

It is an interprime number because it is at equal distance from previous prime (345713145331) and next prime (345713145343).

It is not a de Polignac number, because 345713145337 - 2²³ = 345704756729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345713145331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582714 + ... + 1015372.

It is an arithmetic number, because the mean of its divisors is an integer number (17509750200).

Almost surely, 2^345713145337 is an apocalyptic number.

It is an amenable number.

345713145337 is a deficient number, since it is larger than the sum of its proper divisors (74520859463).

345713145337 is a wasteful number, since it uses less digits than its factorization.

345713145337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433405 (or 433398 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 46.

The spelling of 345713145337 in words is "three hundred forty-five billion, seven hundred thirteen million, one hundred forty-five thousand, three hundred thirty-seven".