345131015769 has 12 divisors (see below), whose sum is σ = 527847436116. Its totient is φ = 216552794112.

The previous prime is 345131015759. The next prime is 345131015791. The reversal of 345131015769 is 967510131543.

345131015769 is a `hidden beast` number, since 3 + 45 + 1 + 31 + 0 + 1 + 576 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 196124979600 + 149006036169 = 442860^2 + 386013^2 .

It is not a de Polignac number, because 345131015769 - 2⁵ = 345131015737 is a prime.

It is a super-3 number, since 3×345131015769³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (345131015759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1127878984 + ... + 1127879289.

It is an arithmetic number, because the mean of its divisors is an integer number (43987286343).

Almost surely, 2^345131015769 is an apocalyptic number.

It is an amenable number.

345131015769 is a deficient number, since it is larger than the sum of its proper divisors (182716420347).

345131015769 is a wasteful number, since it uses less digits than its factorization.

345131015769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255758296 (or 2255758293 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 345131015769 in words is "three hundred forty-five billion, one hundred thirty-one million, fifteen thousand, seven hundred sixty-nine".