345213205821 has 96 divisors (see below), whose sum is σ = 571224925440. Its totient is φ = 200637360000.

The previous prime is 345213205819. The next prime is 345213205823. The reversal of 345213205821 is 128502312543.

345213205821 is a `hidden beast` number, since 3 + 4 + 52 + 1 + 3 + 20 + 582 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (345213205819) and next prime (345213205823).

It is not a de Polignac number, because 345213205821 - 2¹ = 345213205819 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345213205823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52452751 + ... + 52459331.

It is an arithmetic number, because the mean of its divisors is an integer number (5950259640).

Almost surely, 2^345213205821 is an apocalyptic number.

It is an amenable number.

345213205821 is a deficient number, since it is larger than the sum of its proper divisors (226011719619).

345213205821 is a wasteful number, since it uses less digits than its factorization.

345213205821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800 (or 6775 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 345213205821 in words is "three hundred forty-five billion, two hundred thirteen million, two hundred five thousand, eight hundred twenty-one".