82974356016 has 160 divisors (see below), whose sum is σ = 221295360000. Its totient is φ = 26781041664.

The previous prime is 82974356009. The next prime is 82974356029. The reversal of 82974356016 is 61065347928.

It is a self number, because there is not a number n which added to its sum of digits gives 82974356016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42571810 + ... + 42573758.

It is an arithmetic number, because the mean of its divisors is an integer number (1383096000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅82974356016 = 165948712032, but 3⋅82974356016 = 248923068048 is not.

Almost surely, 2^82974356016 is an apocalyptic number.

82974356016 is the 153971-st nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82974356016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110647680000).

82974356016 is an abundant number, since it is smaller than the sum of its proper divisors (138321003984).

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

82974356016 is a wasteful number, since it uses less digits than its factorization.

82974356016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 82974356016 in words is "eighty-two billion, nine hundred seventy-four million, three hundred fifty-six thousand, sixteen".