82313055031328 has 96 divisors (see below), whose sum is σ = 177039773402688. Its totient is φ = 37361326464000.

The previous prime is 82313055031309. The next prime is 82313055031357.

82313055031328 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82313055031328² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4237034351 + ... + 4237053777.

It is an arithmetic number, because the mean of its divisors is an integer number (1844164306278).

Almost surely, 2^{82313055031328} is an apocalyptic number.

82313055031328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82313055031328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88519886701344).

82313055031328 is an abundant number, since it is smaller than the sum of its proper divisors (94726718371360).

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

82313055031328 is a wasteful number, since it uses less digits than its factorization.

82313055031328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36106 (or 36098 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 82313055031328 in words is "eighty-two trillion, three hundred thirteen billion, fifty-five million, thirty-one thousand, three hundred twenty-eight".