82449431000 has 128 divisors (see below), whose sum is σ = 200116949760. Its totient is φ = 31769280000.

The previous prime is 82449430991. The next prime is 82449431017. The reversal of 82449431000 is 13494428.

It is a super-2 number, since 2×82449431000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3725969 + ... + 3748031.

It is an arithmetic number, because the mean of its divisors is an integer number (1563413670).

Almost surely, 2^82449431000 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 82449431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100058474880).

82449431000 is an abundant number, since it is smaller than the sum of its proper divisors (117667518760).

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

82449431000 is a wasteful number, since it uses less digits than its factorization.

82449431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22222 (or 22208 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 82449431000 in words is "eighty-two billion, four hundred forty-nine million, four hundred thirty-one thousand".