345653017000 has 32 divisors (see below), whose sum is σ = 808828062120. Its totient is φ = 138261206400.

The previous prime is 345653016983. The next prime is 345653017043. The reversal of 345653017000 is 710356543.

It can be written as a sum of positive squares in 4 ways, for example, as 88747984836 + 256905032164 = 297906^2 + 506858^2 .

It is a super-2 number, since 2×345653017000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172825509 + ... + 172827508.

Almost surely, 2^345653017000 is an apocalyptic number.

It is an amenable number.

345653017000 is an abundant number, since it is smaller than the sum of its proper divisors (463175045120).

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

345653017000 is a wasteful number, since it uses less digits than its factorization.

345653017000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345653038 (or 345653024 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The spelling of 345653017000 in words is "three hundred forty-five billion, six hundred fifty-three million, seventeen thousand".