345853606401 has 6 divisors (see below), whose sum is σ = 499566320370. Its totient is φ = 230569070928.

The previous prime is 345853606339. The next prime is 345853606459. The reversal of 345853606401 is 104606358543.

345853606401 is a `hidden beast` number, since 3 + 4 + 58 + 536 + 0 + 64 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 265127159025 + 80726447376 = 514905^2 + 284124^2 .

It is not a de Polignac number, because 345853606401 - 2¹⁵ = 345853573633 is a prime.

It is a super-2 number, since 2×345853606401² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345853606001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19214089236 + ... + 19214089253.

It is an arithmetic number, because the mean of its divisors is an integer number (83261053395).

Almost surely, 2^345853606401 is an apocalyptic number.

It is an amenable number.

345853606401 is a deficient number, since it is larger than the sum of its proper divisors (153712713969).

345853606401 is a wasteful number, since it uses less digits than its factorization.

345853606401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38428178495 (or 38428178492 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 345853606401 in words is "three hundred forty-five billion, eight hundred fifty-three million, six hundred six thousand, four hundred one".