82414856160 has 1440 divisors, whose sum is σ = 372289024800. Its totient is φ = 17014136832.

The previous prime is 82414856137. The next prime is 82414856177. The reversal of 82414856160 is 6165841428.

It is a happy number.

82414856160 is a `hidden beast` number, since 8 + 2 + 4 + 1 + 485 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×82414856160³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 553119766 + ... + 553119914.

It is an arithmetic number, because the mean of its divisors is an integer number (258534045).

Almost surely, 2^82414856160 is an apocalyptic number.

82414856160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82414856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186144512400).

82414856160 is an abundant number, since it is smaller than the sum of its proper divisors (289874168640).

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

82414856160 is a wasteful number, since it uses less digits than its factorization.

82414856160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 82414856160 in words is "eighty-two billion, four hundred fourteen million, eight hundred fifty-six thousand, one hundred sixty".