345733551760 has 20 divisors (see below), whose sum is σ = 803830508028. Its totient is φ = 138293420672.

The previous prime is 345733551697. The next prime is 345733551769. The reversal of 345733551760 is 67155337543.

It can be written as a sum of positive squares in 2 ways, for example, as 100050750864 + 245682800896 = 316308^2 + 495664^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (345733551769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2160834619 + ... + 2160834778.

Almost surely, 2^345733551760 is an apocalyptic number.

It is an amenable number.

345733551760 is an abundant number, since it is smaller than the sum of its proper divisors (458096956268).

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

345733551760 is a wasteful number, since it uses less digits than its factorization.

345733551760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321669410 (or 4321669404 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 49.

The spelling of 345733551760 in words is "three hundred forty-five billion, seven hundred thirty-three million, five hundred fifty-one thousand, seven hundred sixty".