345279228230664 has 768 divisors, whose sum is σ = 1232275838976000. Its totient is φ = 84861299496960.

The previous prime is 345279228230647. The next prime is 345279228230669. The reversal of 345279228230664 is 466032822972543.

345279228230664 is a `hidden beast` number, since 3 + 4 + 52 + 79 + 228 + 230 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (345279228230669) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2232326659 + ... + 2232481325.

It is an arithmetic number, because the mean of its divisors is an integer number (1604525832000).

Almost surely, 2^{345279228230664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345279228230664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616137919488000).

345279228230664 is an abundant number, since it is smaller than the sum of its proper divisors (886996610745336).

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

345279228230664 is a wasteful number, since it uses less digits than its factorization.

345279228230664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155138 (or 155131 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 345279228230664 in words is "three hundred forty-five trillion, two hundred seventy-nine billion, two hundred twenty-eight million, two hundred thirty thousand, six hundred sixty-four".