82714581456 has 320 divisors, whose sum is σ = 249464033280. Its totient is φ = 23397396480.

The previous prime is 82714581419. The next prime is 82714581461. The reversal of 82714581456 is 65418541728.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82714581399 and 82714581408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127842925 + ... + 127843571.

It is an arithmetic number, because the mean of its divisors is an integer number (779575104).

Almost surely, 2^82714581456 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 82714581456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124732016640).

82714581456 is an abundant number, since it is smaller than the sum of its proper divisors (166749451824).

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

82714581456 is a wasteful number, since it uses less digits than its factorization.

82714581456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 51.

The spelling of 82714581456 in words is "eighty-two billion, seven hundred fourteen million, five hundred eighty-one thousand, four hundred fifty-six".