8781167906801 has 2 divisors, whose sum is σ = 8781167906802. Its totient is φ = 8781167906800.

The previous prime is 8781167906767. The next prime is 8781167906809. The reversal of 8781167906801 is 1086097611878.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6824529264400 + 1956638642401 = 2612380^2 + 1398799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8781167906801 is a prime.

It is not a weakly prime, because it can be changed into another prime (8781167906809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4390583953400 + 4390583953401.

It is an arithmetic number, because the mean of its divisors is an integer number (4390583953401).

Almost surely, 2^{8781167906801} is an apocalyptic number.

It is an amenable number.

8781167906801 is a deficient number, since it is larger than the sum of its proper divisors (1).

8781167906801 is an equidigital number, since it uses as much as digits as its factorization.

8781167906801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8128512, while the sum is 62.

The spelling of 8781167906801 in words is "eight trillion, seven hundred eighty-one billion, one hundred sixty-seven million, nine hundred six thousand, eight hundred one".