345601661805 has 24 divisors (see below), whose sum is σ = 599252486040. Its totient is φ = 184256392320.

The previous prime is 345601661773. The next prime is 345601661813. The reversal of 345601661805 is 508166106543.

345601661805 is a `hidden beast` number, since 3 + 4 + 560 + 1 + 6 + 6 + 1 + 80 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 400760361 + 345200901444 = 20019^2 + 587538^2 .

It is not a de Polignac number, because 345601661805 - 2⁵ = 345601661773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213450 + ... + 1470939.

It is an arithmetic number, because the mean of its divisors is an integer number (24968853585).

Almost surely, 2^345601661805 is an apocalyptic number.

It is an amenable number.

345601661805 is a deficient number, since it is larger than the sum of its proper divisors (253650824235).

345601661805 is a wasteful number, since it uses less digits than its factorization.

345601661805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687261 (or 2687258 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 345601661805 in words is "three hundred forty-five billion, six hundred one million, six hundred sixty-one thousand, eight hundred five".