345886310641 has 3 divisors (see below), whose sum is σ = 345886898763. Its totient is φ = 345885722520.

The previous prime is 345886310633. The next prime is 345886310677. The reversal of 345886310641 is 146013688543.

The square root of 345886310641 is 588121.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 104412350641 + 241473960000 = 323129^2 + 491400^2 .

It is not a de Polignac number, because 345886310641 - 2³ = 345886310633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345886317641) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 294061 + ... + 882181.

It is an arithmetic number, because the mean of its divisors is an integer number (115295632921).

Almost surely, 2^345886310641 is an apocalyptic number.

345886310641 is the 588121-st square number.

345886310641 is the 294061-st centered octagonal number.

It is an amenable number.

345886310641 is a deficient number, since it is larger than the sum of its proper divisors (588122).

345886310641 is an frugal number, since it uses more digits than its factorization.

345886310641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176242 (or 588121 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 345886310641 by its sum of digits (49), we get a square (16948429221409 = 4116847²).

The spelling of 345886310641 in words is "three hundred forty-five billion, eight hundred eighty-six million, three hundred ten thousand, six hundred forty-one".