82614041628 has 12 divisors (see below), whose sum is σ = 192766097160. Its totient is φ = 27538013872.

The previous prime is 82614041623. The next prime is 82614041663.

82614041628 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×82614041628² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82614041628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82614041623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3442251723 + ... + 3442251746.

It is an arithmetic number, because the mean of its divisors is an integer number (16063841430).

Almost surely, 2^82614041628 is an apocalyptic number.

It is an amenable number.

82614041628 is an abundant number, since it is smaller than the sum of its proper divisors (110152055532).

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

82614041628 is a wasteful number, since it uses less digits than its factorization.

82614041628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884503476 (or 6884503474 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

It can be divided in two parts, 826140 and 41628, that added together give a palindrome (867768).

The spelling of 82614041628 in words is "eighty-two billion, six hundred fourteen million, forty-one thousand, six hundred twenty-eight".