81084406664352 has 384 divisors, whose sum is σ = 277867671588864. Its totient is φ = 20091193049088.

The previous prime is 81084406664323. The next prime is 81084406664353. The reversal of 81084406664352 is 25346660448018.

It is a super-2 number, since 2×81084406664352² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81084406664292 and 81084406664301.

It is not an unprimeable number, because it can be changed into a prime (81084406664353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83127373 + ... + 84097139.

It is an arithmetic number, because the mean of its divisors is an integer number (723613728096).

Almost surely, 2^{81084406664352} 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 81084406664352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138933835794432).

81084406664352 is an abundant number, since it is smaller than the sum of its proper divisors (196783264924512).

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

81084406664352 is a wasteful number, since it uses less digits than its factorization.

81084406664352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970380 (or 970372 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 81084406664352 in words is "eighty-one trillion, eighty-four billion, four hundred six million, six hundred sixty-four thousand, three hundred fifty-two".