345530431415125 has 96 divisors (see below), whose sum is σ = 489470769994752. Its totient is φ = 243092622960000.

The previous prime is 345530431415123. The next prime is 345530431415177. The reversal of 345530431415125 is 521514134035543.

It is not a de Polignac number, because 345530431415125 - 2¹ = 345530431415123 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 (345530431415123) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1198769274 + ... + 1199057476.

It is an arithmetic number, because the mean of its divisors is an integer number (5098653854112).

Almost surely, 2^{345530431415125} is an apocalyptic number.

It is an amenable number.

345530431415125 is a deficient number, since it is larger than the sum of its proper divisors (143940338579627).

345530431415125 is a wasteful number, since it uses less digits than its factorization.

345530431415125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290828 (or 290807 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 46.

The spelling of 345530431415125 in words is "three hundred forty-five trillion, five hundred thirty billion, four hundred thirty-one million, four hundred fifteen thousand, one hundred twenty-five".