82624738311 has 32 divisors (see below), whose sum is σ = 122781120000. Its totient is φ = 54915024384.

The previous prime is 82624738271. The next prime is 82624738397. The reversal of 82624738311 is 11383742628.

82624738311 is a `hidden beast` number, since 8 + 2 + 624 + 7 + 3 + 8 + 3 + 11 = 666.

It is not a de Polignac number, because 82624738311 - 2¹³ = 82624730119 is a prime.

It is a super-2 number, since 2×82624738311² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82624738811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25043740 + ... + 25047038.

It is an arithmetic number, because the mean of its divisors is an integer number (3836910000).

Almost surely, 2^82624738311 is an apocalyptic number.

82624738311 is a deficient number, since it is larger than the sum of its proper divisors (40156381689).

82624738311 is a wasteful number, since it uses less digits than its factorization.

82624738311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 5854 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 82624738311 in words is "eighty-two billion, six hundred twenty-four million, seven hundred thirty-eight thousand, three hundred eleven".