82944611644928 has 80 divisors (see below), whose sum is σ = 180796340949840. Its totient is φ = 37701468979200.

The previous prime is 82944611644927. The next prime is 82944611644987.

82944611644928 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82944611644927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595621388 + ... + 595760628.

It is an arithmetic number, because the mean of its divisors is an integer number (2259954261873).

Almost surely, 2^{82944611644928} is an apocalyptic number.

82944611644928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82944611644928 is an abundant number, since it is smaller than the sum of its proper divisors (97851729304912).

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

82944611644928 is a wasteful number, since it uses less digits than its factorization.

82944611644928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245039 (or 245023 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 68.

The spelling of 82944611644928 in words is "eighty-two trillion, nine hundred forty-four billion, six hundred eleven million, six hundred forty-four thousand, nine hundred twenty-eight".