34134111110000 has 200 divisors, whose sum is σ = 90242589615024. Its totient is φ = 12400346880000.

The previous prime is 34134111109951. The next prime is 34134111110027. The reversal of 34134111110000 is 1111143143.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 39 ways as a sum of consecutive naturals, for example, 113479802 + ... + 113780198.

Almost surely, 2^{34134111110000} 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 34134111110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45121294807512).

34134111110000 is an abundant number, since it is smaller than the sum of its proper divisors (56108478505024).

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

34134111110000 is a wasteful number, since it uses less digits than its factorization.

34134111110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301469 (or 301448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 34134111110000 its reverse (1111143143), we get a palindrome (34135222253143).

The spelling of 34134111110000 in words is "thirty-four trillion, one hundred thirty-four billion, one hundred eleven million, one hundred ten thousand".