82316607213104 has 160 divisors (see below), whose sum is σ = 186174966063360. Its totient is φ = 34860996172800.

The previous prime is 82316607213103. The next prime is 82316607213163. The reversal of 82316607213104 is 40131270661328.

It is a happy number.

82316607213104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×82316607213104³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (82316607213103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1550863814 + ... + 1550916890.

It is an arithmetic number, because the mean of its divisors is an integer number (1163593537896).

Almost surely, 2^{82316607213104} 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 82316607213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93087483031680).

82316607213104 is an abundant number, since it is smaller than the sum of its proper divisors (103858358850256).

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

82316607213104 is a wasteful number, since it uses less digits than its factorization.

82316607213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60779 (or 60773 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 82316607213104 in words is "eighty-two trillion, three hundred sixteen billion, six hundred seven million, two hundred thirteen thousand, one hundred four".