82116503993664 has 336 divisors, whose sum is σ = 276856897314816. Its totient is φ = 22786159334400.

The previous prime is 82116503993653. The next prime is 82116503993683. The reversal of 82116503993664 is 46639930561128.

82116503993664 is a `hidden beast` number, since 8 + 2 + 1 + 1 + 6 + 503 + 99 + 36 + 6 + 4 = 666.

82116503993664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×82116503993664² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17039569 + ... + 21320879.

It is an arithmetic number, because the mean of its divisors is an integer number (823978861056).

Almost surely, 2^{82116503993664} is an apocalyptic number.

82116503993664 is a gapful number since it is divisible by the number (84) 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 82116503993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138428448657408).

82116503993664 is an abundant number, since it is smaller than the sum of its proper divisors (194740393321152).

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

82116503993664 is a wasteful number, since it uses less digits than its factorization.

82116503993664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281474 (or 4281461 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 82116503993664 in words is "eighty-two trillion, one hundred sixteen billion, five hundred three million, nine hundred ninety-three thousand, six hundred sixty-four".