82334135952 has 30 divisors (see below), whose sum is σ = 230421228102. Its totient is φ = 27444711936.

The previous prime is 82334135951. The next prime is 82334136011. The reversal of 82334135952 is 25953143328.

82334135952 is a `hidden beast` number, since 8 + 23 + 34 + 1 + 3 + 595 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74811002256 + 7523133696 = 273516^2 + 86736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82334135898 and 82334135907.

It is not an unprimeable number, because it can be changed into a prime (82334135951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285882273 + ... + 285882560.

Almost surely, 2^82334135952 is an apocalyptic number.

It is an amenable number.

82334135952 is an abundant number, since it is smaller than the sum of its proper divisors (148087092150).

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

82334135952 is a wasteful number, since it uses less digits than its factorization.

82334135952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571764847 (or 571764838 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 82334135952 in words is "eighty-two billion, three hundred thirty-four million, one hundred thirty-five thousand, nine hundred fifty-two".