81462468401 has 2 divisors, whose sum is σ = 81462468402. Its totient is φ = 81462468400.

The previous prime is 81462468397. The next prime is 81462468413. The reversal of 81462468401 is 10486426418.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56359234801 + 25103233600 = 237401^2 + 158440^2 .

It is a cyclic number.

It is not a de Polignac number, because 81462468401 - 2² = 81462468397 is a prime.

It is a super-2 number, since 2×81462468401² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (81462468421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40731234200 + 40731234201.

It is an arithmetic number, because the mean of its divisors is an integer number (40731234201).

Almost surely, 2^81462468401 is an apocalyptic number.

It is an amenable number.

81462468401 is a deficient number, since it is larger than the sum of its proper divisors (1).

81462468401 is an equidigital number, since it uses as much as digits as its factorization.

81462468401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294912, while the sum is 44.

The spelling of 81462468401 in words is "eighty-one billion, four hundred sixty-two million, four hundred sixty-eight thousand, four hundred one".