82148649637 has 12 divisors (see below), whose sum is σ = 85899894444. Its totient is φ = 78554759360.

The previous prime is 82148649599. The next prime is 82148649673. The reversal of 82148649637 is 73694684128.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43594934436 + 38553715201 = 208794^2 + 196351^2 .

It is not a de Polignac number, because 82148649637 - 2¹⁹ = 82148125349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82148649697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2033043 + ... + 2073055.

It is an arithmetic number, because the mean of its divisors is an integer number (7158324537).

Almost surely, 2^82148649637 is an apocalyptic number.

It is an amenable number.

82148649637 is a deficient number, since it is larger than the sum of its proper divisors (3751244807).

82148649637 is a wasteful number, since it uses less digits than its factorization.

82148649637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43940 (or 43917 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 58.

The spelling of 82148649637 in words is "eighty-two billion, one hundred forty-eight million, six hundred forty-nine thousand, six hundred thirty-seven".