82353422435328 has 704 divisors, whose sum is σ = 282947921107200. Its totient is φ = 23384704942080.

The previous prime is 82353422435293. The next prime is 82353422435357.

It is a happy number.

82353422435328 is a `hidden beast` number, since 8 + 2 + 3 + 5 + 342 + 243 + 53 + 2 + 8 = 666.

82353422435328 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (704).

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

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, 1183935526 + ... + 1184005082.

Almost surely, 2^{82353422435328} is an apocalyptic number.

82353422435328 is a gapful number since it is divisible by the number (88) 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 82353422435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141473960553600).

82353422435328 is an abundant number, since it is smaller than the sum of its proper divisors (200594498671872).

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

82353422435328 is a wasteful number, since it uses less digits than its factorization.

82353422435328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69843 (or 69819 counting only the distinct ones).

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

The spelling of 82353422435328 in words is "eighty-two trillion, three hundred fifty-three billion, four hundred twenty-two million, four hundred thirty-five thousand, three hundred twenty-eight".