82014447456 has 192 divisors, whose sum is σ = 246141504000. Its totient is φ = 26548674048.

The previous prime is 82014447451. The next prime is 82014447467. The reversal of 82014447456 is 65474441028.

It is a super-3 number, since 3×82014447456³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82014447451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19146691 + ... + 19150973.

It is an arithmetic number, because the mean of its divisors is an integer number (1281987000).

Almost surely, 2^82014447456 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 82014447456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123070752000).

82014447456 is an abundant number, since it is smaller than the sum of its proper divisors (164127056544).

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

82014447456 is a wasteful number, since it uses less digits than its factorization.

82014447456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4938 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 82014447456 in words is "eighty-two billion, fourteen million, four hundred forty-seven thousand, four hundred fifty-six".