82114283790 has 720 divisors, whose sum is σ = 296284857264. Its totient is φ = 16133644800.

The previous prime is 82114283761. The next prime is 82114283821. The reversal of 82114283790 is 9738241128.

It is a happy number.

82114283790 is a `hidden beast` number, since 8 + 211 + 428 + 3 + 7 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 157608730 + ... + 157609250.

Almost surely, 2^82114283790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82114283790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148142428632).

82114283790 is an abundant number, since it is smaller than the sum of its proper divisors (214170573474).

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

82114283790 is a wasteful number, since it uses less digits than its factorization.

82114283790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 82114283790 in words is "eighty-two billion, one hundred fourteen million, two hundred eighty-three thousand, seven hundred ninety".