345544250405313 has 32 divisors (see below), whose sum is σ = 466054704801792. Its totient is φ = 227709522432000.

The previous prime is 345544250405279. The next prime is 345544250405317. The reversal of 345544250405313 is 313504052445543.

It is not a de Polignac number, because 345544250405313 - 2¹³ = 345544250397121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345544250405317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689911968 + ... + 690412638.

It is an arithmetic number, because the mean of its divisors is an integer number (14564209525056).

Almost surely, 2^{345544250405313} is an apocalyptic number.

It is an amenable number.

345544250405313 is a deficient number, since it is larger than the sum of its proper divisors (120510454396479).

345544250405313 is a wasteful number, since it uses less digits than its factorization.

345544250405313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506265.

The product of its (nonzero) digits is 8640000, while the sum is 48.

The spelling of 345544250405313 in words is "three hundred forty-five trillion, five hundred forty-four billion, two hundred fifty million, four hundred five thousand, three hundred thirteen".