9731897920801 has 9 divisors (see below), whose sum is σ = 11320804616499. Its totient is φ = 8341608071664.

The previous prime is 9731897920781. The next prime is 9731897920879. The reversal of 9731897920801 is 1080297981379.

The square root of 9731897920801 is 3119599.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9320473173025 + 411424747776 = 3052945^2 + 641424^2 .

It is not a de Polignac number, because 9731897920801 - 2²⁷ = 9731763703073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9731897920891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21614365 + ... + 22060021.

It is an arithmetic number, because the mean of its divisors is an integer number (1257867179611).

Almost surely, 2^{9731897920801} is an apocalyptic number.

9731897920801 is the 3119599-th square number.

9731897920801 is the 1559800-th centered octagonal number.

It is an amenable number.

9731897920801 is a deficient number, since it is larger than the sum of its proper divisors (1588906695698).

9731897920801 is an frugal number, since it uses more digits than its factorization.

9731897920801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891328 (or 445664 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 64.

Multiplying 9731897920801 by its sum of digits (64), we get a square (622841466931264 = 24956792²).

The spelling of 9731897920801 in words is "nine trillion, seven hundred thirty-one billion, eight hundred ninety-seven million, nine hundred twenty thousand, eight hundred one".