345005600823 has 24 divisors (see below), whose sum is σ = 564921455280. Its totient is φ = 201136867200.

The previous prime is 345005600813. The next prime is 345005600831. The reversal of 345005600823 is 328006500543.

It is a happy number.

345005600823 is a `hidden beast` number, since 3 + 45 + 0 + 0 + 5 + 600 + 8 + 2 + 3 = 666.

It is not a de Polignac number, because 345005600823 - 2⁹ = 345005600311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345005600803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77596878 + ... + 77601323.

It is an arithmetic number, because the mean of its divisors is an integer number (23538393970).

Almost surely, 2^345005600823 is an apocalyptic number.

345005600823 is a deficient number, since it is larger than the sum of its proper divisors (219915854457).

345005600823 is a wasteful number, since it uses less digits than its factorization.

345005600823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155198239 (or 155198236 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 345005600823 in words is "three hundred forty-five billion, five million, six hundred thousand, eight hundred twenty-three".