82922441342976 has 459 divisors, whose sum is σ = 244437025395043. Its totient is φ = 27088323870720.

The previous prime is 82922441342941. The next prime is 82922441342977. The reversal of 82922441342976 is 67924314422928.

The square root of 82922441342976 is 9106176.

It is a perfect power (a square), and thus also a powerful number.

82922441342976 is a `hidden beast` number, since 8 + 2 + 92 + 2 + 4 + 413 + 42 + 97 + 6 = 666.

It is a super-2 number, since 2×82922441342976² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (83607552) is a multiple of the sum of its prime divisors (243).

It is not an unprimeable number, because it can be changed into a prime (82922441342977) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 496541564845 + ... + 496541565011.

Almost surely, 2^{82922441342976} is an apocalyptic number.

82922441342976 is the 9106176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82922441342976

82922441342976 is an abundant number, since it is smaller than the sum of its proper divisors (161514584052067).

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

82922441342976 is an frugal number, since it uses more digits than its factorization.

82922441342976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 243 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 82922441342976 in words is "eighty-two trillion, nine hundred twenty-two billion, four hundred forty-one million, three hundred forty-two thousand, nine hundred seventy-six".