82142224128 has 54 divisors (see below), whose sum is σ = 236836289144. Its totient is φ = 27380740608.

The previous prime is 82142224117. The next prime is 82142224189.

82142224128 is a `hidden beast` number, since 8 + 2 + 14 + 222 + 412 + 8 = 666.

82142224128 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82142224092 and 82142224101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17823700 + ... + 17828307.

Almost surely, 2^82142224128 is an apocalyptic number.

It is an amenable number.

82142224128 is an abundant number, since it is smaller than the sum of its proper divisors (154694065016).

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

82142224128 is a wasteful number, since it uses less digits than its factorization.

82142224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35652029 (or 35652012 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The spelling of 82142224128 in words is "eighty-two billion, one hundred forty-two million, two hundred twenty-four thousand, one hundred twenty-eight".