82236056697144 has 1024 divisors, whose sum is σ = 297439174656000. Its totient is φ = 20745582188544.

The previous prime is 82236056697121. The next prime is 82236056697173. The reversal of 82236056697144 is 44179665063228.

82236056697144 is a `hidden beast` number, since 8 + 2 + 2 + 3 + 60 + 566 + 9 + 7 + 1 + 4 + 4 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4074510877 + ... + 4074531059.

It is an arithmetic number, because the mean of its divisors is an integer number (290467944000).

It is a 1-persistent number, because it is pandigital, but 2⋅82236056697144 = 164472113394288 is not.

Almost surely, 2^{82236056697144} is an apocalyptic number.

82236056697144 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 82236056697144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148719587328000).

82236056697144 is an abundant number, since it is smaller than the sum of its proper divisors (215203117958856).

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

82236056697144 is a wasteful number, since it uses less digits than its factorization.

82236056697144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20356 (or 20334 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 82236056697144 in words is "eighty-two trillion, two hundred thirty-six billion, fifty-six million, six hundred ninety-seven thousand, one hundred forty-four".