82181132734464 has 416 divisors, whose sum is σ = 247486548810240. Its totient is φ = 26943863390208.

The previous prime is 82181132734417. The next prime is 82181132734489. The reversal of 82181132734464 is 46443723118128.

82181132734464 is a `hidden beast` number, since 8 + 2 + 1 + 81 + 1 + 32 + 73 + 4 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 82181132734464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2962856404 + ... + 2962884140.

Almost surely, 2^{82181132734464} 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 82181132734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123743274405120).

82181132734464 is an abundant number, since it is smaller than the sum of its proper divisors (165305416075776).

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

82181132734464 is a wasteful number, since it uses less digits than its factorization.

82181132734464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28210 (or 28182 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 82181132734464 in words is "eighty-two trillion, one hundred eighty-one billion, one hundred thirty-two million, seven hundred thirty-four thousand, four hundred sixty-four".