82233696468 has 192 divisors, whose sum is σ = 243220432896. Its totient is φ = 21003840000.

The previous prime is 82233696443. The next prime is 82233696481. The reversal of 82233696468 is 86469633228.

It is a super-4 number, since 4×82233696468⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63207418 + ... + 63208718.

It is an arithmetic number, because the mean of its divisors is an integer number (1266773088).

Almost surely, 2^82233696468 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 82233696468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121610216448).

82233696468 is an abundant number, since it is smaller than the sum of its proper divisors (160986736428).

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

82233696468 is a wasteful number, since it uses less digits than its factorization.

82233696468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2412 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 57.

The spelling of 82233696468 in words is "eighty-two billion, two hundred thirty-three million, six hundred ninety-six thousand, four hundred sixty-eight".