345331347201 has 9 divisors (see below), whose sum is σ = 498814492449. Its totient is φ = 230219722836.

The previous prime is 345331347191. The next prime is 345331347227. The reversal of 345331347201 is 102743133543.

The square root of 345331347201 is 587649.

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

345331347201 is a `hidden beast` number, since 3 + 453 + 3 + 134 + 72 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 345331347201 - 2⁷ = 345331347073 is a prime.

It is a super-2 number, since 2×345331347201² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345331347401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1665006 + ... + 1860888.

Almost surely, 2^345331347201 is an apocalyptic number.

345331347201 is the 587649-th square number.

345331347201 is the 293825-th centered octagonal number.

It is an amenable number.

345331347201 is a deficient number, since it is larger than the sum of its proper divisors (153483145248).

345331347201 is an frugal number, since it uses more digits than its factorization.

345331347201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391772 (or 195886 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Multiplying 345331347201 by its sum of digits (36), we get a square (12431928499236 = 3525894²).

The spelling of 345331347201 in words is "three hundred forty-five billion, three hundred thirty-one million, three hundred forty-seven thousand, two hundred one".