345513178125 has 192 divisors, whose sum is σ = 655158067200. Its totient is φ = 179909640000.

The previous prime is 345513178117. The next prime is 345513178133. The reversal of 345513178125 is 521871315543.

345513178125 is a `hidden beast` number, since 3 + 4 + 5 + 513 + 1 + 7 + 8 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (345513178117) and next prime (345513178133).

It is not a de Polignac number, because 345513178125 - 2³ = 345513178117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 721321636 + ... + 721322114.

It is an arithmetic number, because the mean of its divisors is an integer number (3412281600).

Almost surely, 2^345513178125 is an apocalyptic number.

It is an amenable number.

345513178125 is a deficient number, since it is larger than the sum of its proper divisors (309644889075).

345513178125 is an equidigital number, since it uses as much as digits as its factorization.

345513178125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 673 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 345513178125 in words is "three hundred forty-five billion, five hundred thirteen million, one hundred seventy-eight thousand, one hundred twenty-five".