345525314103414 has 32 divisors (see below), whose sum is σ = 794311066908000. Its totient is φ = 111203549366112.

The previous prime is 345525314103401. The next prime is 345525314103493. The reversal of 345525314103414 is 414301413525543.

345525314103414 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 2 + 531 + 4 + 103 + 4 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 345525314103414.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 110320979949 + ... + 110320983080.

It is an arithmetic number, because the mean of its divisors is an integer number (24822220840875).

Almost surely, 2^{345525314103414} is an apocalyptic number.

345525314103414 is an abundant number, since it is smaller than the sum of its proper divisors (448785752804586).

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

345525314103414 is a wasteful number, since it uses less digits than its factorization.

345525314103414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220641963069 (or 220641963063 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 345525314103414 its reverse (414301413525543), we get a palindrome (759826727628957).

The spelling of 345525314103414 in words is "three hundred forty-five trillion, five hundred twenty-five billion, three hundred fourteen million, one hundred three thousand, four hundred fourteen".