81648000901 has 4 divisors (see below), whose sum is σ = 81660213900. Its totient is φ = 81635787904.

The previous prime is 81648000887. The next prime is 81648000943. The reversal of 81648000901 is 10900084618.

81648000901 = 202049² + 202050².

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 40823798401 + 40824202500 = 202049^2 + 202050^2 .

It is a cyclic number.

It is not a de Polignac number, because 81648000901 - 2⁵ = 81648000869 is a prime.

It is a super-2 number, since 2×81648000901² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81648000701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6096466 + ... + 6109843.

It is an arithmetic number, because the mean of its divisors is an integer number (20415053475).

Almost surely, 2^81648000901 is an apocalyptic number.

81648000901 is the 202050-th centered square number.

It is an amenable number.

81648000901 is a deficient number, since it is larger than the sum of its proper divisors (12212999).

81648000901 is a wasteful number, since it uses less digits than its factorization.

81648000901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12212998.

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 81648000901 in words is "eighty-one billion, six hundred forty-eight million, nine hundred one", and thus it is an aban number.