81419600008961 has 2 divisors, whose sum is σ = 81419600008962. Its totient is φ = 81419600008960.

The previous prime is 81419600008951. The next prime is 81419600008979. The reversal of 81419600008961 is 16980000691418.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80482878000625 + 936722008336 = 8971225^2 + 967844^2 .

It is a cyclic number.

It is not a de Polignac number, because 81419600008961 - 2⁶ = 81419600008897 is a prime.

It is a super-3 number, since 3×81419600008961³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (81419600008951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40709800004480 + 40709800004481.

It is an arithmetic number, because the mean of its divisors is an integer number (40709800004481).

Almost surely, 2^{81419600008961} is an apocalyptic number.

It is an amenable number.

81419600008961 is a deficient number, since it is larger than the sum of its proper divisors (1).

81419600008961 is an equidigital number, since it uses as much as digits as its factorization.

81419600008961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 746496, while the sum is 53.

The spelling of 81419600008961 in words is "eighty-one trillion, four hundred nineteen billion, six hundred million, eight thousand, nine hundred sixty-one".