82369336140 has 216 divisors, whose sum is σ = 313003913040. Its totient is φ = 17379000576.

The previous prime is 82369336079. The next prime is 82369336141. The reversal of 82369336140 is 4163396328.

82369336140 is a `hidden beast` number, since 8 + 23 + 6 + 9 + 3 + 3 + 614 + 0 = 666.

It is a super-2 number, since 2×82369336140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82369336141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 244530 + ... + 473849.

It is an arithmetic number, because the mean of its divisors is an integer number (1449092190).

Almost surely, 2^82369336140 is an apocalyptic number.

It is an amenable number.

82369336140 is an abundant number, since it is smaller than the sum of its proper divisors (230634576900).

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

82369336140 is a wasteful number, since it uses less digits than its factorization.

82369336140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718421 (or 718409 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 82369336140 in words is "eighty-two billion, three hundred sixty-nine million, three hundred thirty-six thousand, one hundred forty".