82262449152 has 880 divisors, whose sum is σ = 287618107392. Its totient is φ = 23211048960.

The previous prime is 82262449111. The next prime is 82262449177. The reversal of 82262449152 is 25194426228.

82262449152 is a `hidden beast` number, since 8 + 2 + 2 + 624 + 4 + 9 + 15 + 2 = 666.

It is a super-2 number, since 2×82262449152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82262449098 and 82262449107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 768807883 + ... + 768807989.

Almost surely, 2^82262449152 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 82262449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143809053696).

82262449152 is an abundant number, since it is smaller than the sum of its proper divisors (205355658240).

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

82262449152 is a wasteful number, since it uses less digits than its factorization.

82262449152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 82262449152 in words is "eighty-two billion, two hundred sixty-two million, four hundred forty-nine thousand, one hundred fifty-two".