345666400231253 has 8 divisors (see below), whose sum is σ = 363447995722680. Its totient is φ = 328275609036480.

The previous prime is 345666400231219. The next prime is 345666400231297. The reversal of 345666400231253 is 352132004666543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 767162270884 + 344899237960369 = 875878^2 + 18571463^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 345666400231253 - 2⁶ = 345666400231189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345666400231213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97701072350 + ... + 97701075887.

It is an arithmetic number, because the mean of its divisors is an integer number (45430999465335).

Almost surely, 2^{345666400231253} is an apocalyptic number.

It is an amenable number.

345666400231253 is a deficient number, since it is larger than the sum of its proper divisors (17781595491427).

345666400231253 is a wasteful number, since it uses less digits than its factorization.

345666400231253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195402148327.

The product of its (nonzero) digits is 9331200, while the sum is 50.

Adding to 345666400231253 its reverse (352132004666543), we get a palindrome (697798404897796).

The spelling of 345666400231253 in words is "three hundred forty-five trillion, six hundred sixty-six billion, four hundred million, two hundred thirty-one thousand, two hundred fifty-three".