345512013042000 has 960 divisors, whose sum is σ = 1314925878928896. Its totient is φ = 76452990566400.

The previous prime is 345512013041927. The next prime is 345512013042071. The reversal of 345512013042000 is 240310215543.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 191 ways as a sum of consecutive naturals, for example, 8775334314 + ... + 8775373686.

Almost surely, 2^{345512013042000} is an apocalyptic number.

345512013042000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345512013042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657462939464448).

345512013042000 is an abundant number, since it is smaller than the sum of its proper divisors (969413865886896).

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

345512013042000 is a wasteful number, since it uses less digits than its factorization.

345512013042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39605 (or 39546 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 345512013042000 its reverse (240310215543), we get a palindrome (345752323257543).

The spelling of 345512013042000 in words is "three hundred forty-five trillion, five hundred twelve billion, thirteen million, forty-two thousand".