81916672868352 has 882 divisors, whose sum is σ = 285872274538788. Its totient is φ = 23404763676672.

The previous prime is 81916672868321. The next prime is 81916672868411. The reversal of 81916672868352 is 25386827661918.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

81916672868352 is a `hidden beast` number, since 8 + 1 + 91 + 66 + 72 + 8 + 68 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (882).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (418037760) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 11702381838333 + ... + 11702381838339.

Almost surely, 2^{81916672868352} 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 81916672868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142936137269394).

81916672868352 is an abundant number, since it is smaller than the sum of its proper divisors (203955601670436).

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

81916672868352 is an frugal number, since it uses more digits than its factorization.

81916672868352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 12 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 81916672868352 in words is "eighty-one trillion, nine hundred sixteen billion, six hundred seventy-two million, eight hundred sixty-eight thousand, three hundred fifty-two".