82733104664652 has 192 divisors, whose sum is σ = 216284411879424. Its totient is φ = 24442354298880.

The previous prime is 82733104664647. The next prime is 82733104664653. The reversal of 82733104664652 is 25646640133728.

It is a super-2 number, since 2×82733104664652² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82733104664592 and 82733104664601.

It is not an unprimeable number, because it can be changed into a prime (82733104664653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407336308 + ... + 407539364.

It is an arithmetic number, because the mean of its divisors is an integer number (1126481311872).

Almost surely, 2^{82733104664652} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82733104664652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108142205939712).

82733104664652 is an abundant number, since it is smaller than the sum of its proper divisors (133551307214772).

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

82733104664652 is a wasteful number, since it uses less digits than its factorization.

82733104664652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203768 (or 203766 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 82733104664652 in words is "eighty-two trillion, seven hundred thirty-three billion, one hundred four million, six hundred sixty-four thousand, six hundred fifty-two".