82045639368 has 384 divisors, whose sum is σ = 296582307840. Its totient is φ = 20621952000.

The previous prime is 82045639367. The next prime is 82045639369. The reversal of 82045639368 is 86393654028.

It is an interprime number because it is at equal distance from previous prime (82045639367) and next prime (82045639369).

It is a super-2 number, since 2×82045639368² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82045639367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4631488 + ... + 4649168.

It is an arithmetic number, because the mean of its divisors is an integer number (772349760).

Almost surely, 2^82045639368 is an apocalyptic number.

82045639368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82045639368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148291153920).

82045639368 is an abundant number, since it is smaller than the sum of its proper divisors (214536668472).

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

82045639368 is a wasteful number, since it uses less digits than its factorization.

82045639368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17751 (or 17735 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 82045639368 in words is "eighty-two billion, forty-five million, six hundred thirty-nine thousand, three hundred sixty-eight".