82681335266544 has 240 divisors, whose sum is σ = 264791080619520. Its totient is φ = 23592701882880.

The previous prime is 82681335266533. The next prime is 82681335266567. The reversal of 82681335266544 is 44566253318628.

82681335266544 is a `hidden beast` number, since 8 + 2 + 6 + 8 + 1 + 3 + 3 + 526 + 65 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2923757397 + ... + 2923785675.

It is an arithmetic number, because the mean of its divisors is an integer number (1103296169248).

Almost surely, 2^{82681335266544} is an apocalyptic number.

82681335266544 is a gapful number since it is divisible by the number (84) 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 82681335266544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132395540309760).

82681335266544 is an abundant number, since it is smaller than the sum of its proper divisors (182109745352976).

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

82681335266544 is a wasteful number, since it uses less digits than its factorization.

82681335266544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31948 (or 31939 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 63.

The spelling of 82681335266544 in words is "eighty-two trillion, six hundred eighty-one billion, three hundred thirty-five million, two hundred sixty-six thousand, five hundred forty-four".