81422144001 has 96 divisors (see below), whose sum is σ = 135320371200. Its totient is φ = 48336156000.

The previous prime is 81422143997. The next prime is 81422144033. The reversal of 81422144001 is 10044122418.

81422144001 is a `hidden beast` number, since 8 + 1 + 42 + 214 + 400 + 1 = 666.

It is not a de Polignac number, because 81422144001 - 2² = 81422143997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (81422144201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70739776 + ... + 70740926.

It is an arithmetic number, because the mean of its divisors is an integer number (1409587200).

Almost surely, 2^81422144001 is an apocalyptic number.

It is an amenable number.

81422144001 is a deficient number, since it is larger than the sum of its proper divisors (53898227199).

81422144001 is a wasteful number, since it uses less digits than its factorization.

81422144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 81422144001 its reverse (10044122418), we get a palindrome (91466266419).

The spelling of 81422144001 in words is "eighty-one billion, four hundred twenty-two million, one hundred forty-four thousand, one".