81648000900 has 108 divisors (see below), whose sum is σ = 256492372500. Its totient is φ = 21724200960.

The previous prime is 81648000887. The next prime is 81648000943. The reversal of 81648000900 is 900084618.

It is a happy number.

81648000900 is a `hidden beast` number, since 8 + 1 + 648 + 0 + 0 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4445155584 + 77202845316 = 66672^2 + 277854^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303076 + ... + 505124.

It is an arithmetic number, because the mean of its divisors is an integer number (2374929375).

Almost surely, 2^81648000900 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 81648000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128246186250).

81648000900 is an abundant number, since it is smaller than the sum of its proper divisors (174844371600).

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

81648000900 is a wasteful number, since it uses less digits than its factorization.

81648000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202518 (or 202508 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 81648000900 in words is "eighty-one billion, six hundred forty-eight million, nine hundred", and thus it is an aban number.