345066653506050 has 480 divisors, whose sum is σ = 1101743167852800. Its totient is φ = 78440754585600.

The previous prime is 345066653506031. The next prime is 345066653506073. The reversal of 345066653506050 is 50605356660543.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 13771255122 + ... + 13771280178.

It is an arithmetic number, because the mean of its divisors is an integer number (2295298266360).

Almost surely, 2^{345066653506050} is an apocalyptic number.

345066653506050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345066653506050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550871583926400).

345066653506050 is an abundant number, since it is smaller than the sum of its proper divisors (756676514346750).

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

345066653506050 is a wasteful number, since it uses less digits than its factorization.

345066653506050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27728 (or 27714 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 54.

The spelling of 345066653506050 in words is "three hundred forty-five trillion, sixty-six billion, six hundred fifty-three million, five hundred six thousand, fifty".