341333257100000 has 576 divisors, whose sum is σ = 924797685284928. Its totient is φ = 122976000000000.

The previous prime is 341333257099981. The next prime is 341333257100081. The reversal of 341333257100000 is 1752333143.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 341333257100000.

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 95 ways as a sum of consecutive naturals, for example, 55947096950 + ... + 55947103050.

It is an arithmetic number, because the mean of its divisors is an integer number (1605551536953).

Almost surely, 2^{341333257100000} 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 341333257100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462398842642464).

341333257100000 is an abundant number, since it is smaller than the sum of its proper divisors (583464428184928).

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

341333257100000 is a wasteful number, since it uses less digits than its factorization.

341333257100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The spelling of 341333257100000 in words is "three hundred forty-one trillion, three hundred thirty-three billion, two hundred fifty-seven million, one hundred thousand".