345637431693 has 32 divisors (see below), whose sum is σ = 542246659200. Its totient is φ = 216842427648.

The previous prime is 345637431661. The next prime is 345637431739. The reversal of 345637431693 is 396134736543.

345637431693 is a `hidden beast` number, since 3 + 4 + 563 + 74 + 3 + 1 + 6 + 9 + 3 = 666.

It is not a de Polignac number, because 345637431693 - 2⁵ = 345637431661 is a prime.

It is a super-3 number, since 3×345637431693³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345637431593) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3830743 + ... + 3919931.

It is an arithmetic number, because the mean of its divisors is an integer number (16945208100).

Almost surely, 2^345637431693 is an apocalyptic number.

It is an amenable number.

345637431693 is a deficient number, since it is larger than the sum of its proper divisors (196609227507).

345637431693 is a wasteful number, since it uses less digits than its factorization.

345637431693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97658 (or 97652 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 54.

The spelling of 345637431693 in words is "three hundred forty-five billion, six hundred thirty-seven million, four hundred thirty-one thousand, six hundred ninety-three".