345525402313314 has 24 divisors (see below), whose sum is σ = 751936338082800. Its totient is φ = 114667754657688.

The previous prime is 345525402313309. The next prime is 345525402313337. The reversal of 345525402313314 is 413313204525543.

345525402313314 is a `hidden beast` number, since 3 + 4 + 5 + 52 + 54 + 0 + 231 + 3 + 314 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 345525402313314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42281616364 + ... + 42281624535.

It is an arithmetic number, because the mean of its divisors is an integer number (31330680753450).

Almost surely, 2^{345525402313314} is an apocalyptic number.

345525402313314 is an abundant number, since it is smaller than the sum of its proper divisors (406410935769486).

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

345525402313314 is a wasteful number, since it uses less digits than its factorization.

345525402313314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84563241134 (or 84563241131 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

Adding to 345525402313314 its reverse (413313204525543), we get a palindrome (758838606838857).

The spelling of 345525402313314 in words is "three hundred forty-five trillion, five hundred twenty-five billion, four hundred two million, three hundred thirteen thousand, three hundred fourteen".