342264135050000 has 480 divisors, whose sum is σ = 893948063662080. Its totient is φ = 126566827200000.

The previous prime is 342264135049997. The next prime is 342264135050011. The reversal of 342264135050000 is 50531462243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29910344279 + ... + 29910355721.

It is an arithmetic number, because the mean of its divisors is an integer number (1862391799296).

Almost surely, 2^{342264135050000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342264135050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446974031831040).

342264135050000 is an abundant number, since it is smaller than the sum of its proper divisors (551683928612080).

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

342264135050000 is a wasteful number, since it uses less digits than its factorization.

342264135050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12369 (or 12343 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 342264135050000 in words is "three hundred forty-two trillion, two hundred sixty-four billion, one hundred thirty-five million, fifty thousand".