345264358464 has 105 divisors (see below), whose sum is σ = 1023597145461. Its totient is φ = 115074017280.

The previous prime is 345264358459. The next prime is 345264358471. The reversal of 345264358464 is 464853462543.

The square root of 345264358464 is 587592.

It is a perfect power (a square), and thus also a powerful number.

345264358464 is a `hidden beast` number, since 3 + 4 + 52 + 6 + 4 + 3 + 584 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127586124864 + 217678233600 = 357192^2 + 466560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 345264358464.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 42302544 + ... + 42310704.

Almost surely, 2^345264358464 is an apocalyptic number.

345264358464 is the 587592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345264358464

345264358464 is an abundant number, since it is smaller than the sum of its proper divisors (678332786997).

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

345264358464 is an frugal number, since it uses more digits than its factorization.

345264358464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16346 (or 8166 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 345264358464 in words is "three hundred forty-five billion, two hundred sixty-four million, three hundred fifty-eight thousand, four hundred sixty-four".