8101817947953 has 48 divisors (see below), whose sum is σ = 12265862049792. Its totient is φ = 5146801884000.

The previous prime is 8101817947897. The next prime is 8101817947963. The reversal of 8101817947953 is 3597497181018.

8101817947953 is a `hidden beast` number, since 8 + 10 + 1 + 81 + 79 + 479 + 5 + 3 = 666.

It is not a de Polignac number, because 8101817947953 - 2²¹ = 8101815850801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8101817947963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15329838 + ... + 15849528.

It is an arithmetic number, because the mean of its divisors is an integer number (255538792704).

Almost surely, 2^{8101817947953} is an apocalyptic number.

It is an amenable number.

8101817947953 is a deficient number, since it is larger than the sum of its proper divisors (4164044101839).

8101817947953 is a wasteful number, since it uses less digits than its factorization.

8101817947953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520586 (or 520583 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 8101817947953 in words is "eight trillion, one hundred one billion, eight hundred seventeen million, nine hundred forty-seven thousand, nine hundred fifty-three".