82349931648 has 128 divisors (see below), whose sum is σ = 226939392000. Its totient is φ = 26430243840.

The previous prime is 82349931623. The next prime is 82349931649. The reversal of 82349931648 is 84613994328.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×82349931648² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82349931649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2351515 + ... + 2386277.

It is an arithmetic number, because the mean of its divisors is an integer number (1772964000).

Almost surely, 2^82349931648 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 82349931648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113469696000).

82349931648 is an abundant number, since it is smaller than the sum of its proper divisors (144589460352).

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

82349931648 is a wasteful number, since it uses less digits than its factorization.

82349931648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35010 (or 34998 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The spelling of 82349931648 in words is "eighty-two billion, three hundred forty-nine million, nine hundred thirty-one thousand, six hundred forty-eight".