834453354438 has 128 divisors (see below), whose sum is σ = 2133473126400. Its totient is φ = 239096253600.

The previous prime is 834453354401. The next prime is 834453354491.

834453354438 is a `hidden beast` number, since 8 + 3 + 44 + 53 + 3 + 544 + 3 + 8 = 666.

834453354438 is nontrivially palindromic in base 10.

834453354438 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5831893 + ... + 5973263.

It is an arithmetic number, because the mean of its divisors is an integer number (16667758800).

Almost surely, 2^834453354438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834453354438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066736563200).

834453354438 is an abundant number, since it is smaller than the sum of its proper divisors (1299019771962).

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

834453354438 is a wasteful number, since it uses less digits than its factorization.

834453354438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141935 (or 141929 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 834453354438 in words is "eight hundred thirty-four billion, four hundred fifty-three million, three hundred fifty-four thousand, four hundred thirty-eight".