82233142992 has 1080 divisors, whose sum is σ = 328488975360. Its totient is φ = 19000396800.

The previous prime is 82233142969. The next prime is 82233143071. The reversal of 82233142992 is 29924133228.

82233142992 is a `hidden beast` number, since 8 + 22 + 331 + 4 + 299 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 344071609 + ... + 344071847.

Almost surely, 2^82233142992 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 82233142992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164244487680).

82233142992 is an abundant number, since it is smaller than the sum of its proper divisors (246255832368).

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

82233142992 is a wasteful number, since it uses less digits than its factorization.

82233142992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 306 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 82233142992 in words is "eighty-two billion, two hundred thirty-three million, one hundred forty-two thousand, nine hundred ninety-two".