9911742517264 has 135 divisors (see below), whose sum is σ = 22483116250461. Its totient is φ = 4220726186880.

The previous prime is 9911742517231. The next prime is 9911742517267. The reversal of 9911742517264 is 4627152471199.

The square root of 9911742517264 is 3148292.

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., 9231315502864 + 680427014400 = 3038308^2 + 824880^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9911742517199 and 9911742517208.

It is not an unprimeable number, because it can be changed into a prime (9911742517267) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20186848059 + ... + 20186848549.

Almost surely, 2^{9911742517264} is an apocalyptic number.

9911742517264 is the 3148292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9911742517264

9911742517264 is an abundant number, since it is smaller than the sum of its proper divisors (12571373733197).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9911742517264 is an frugal number, since it uses more digits than its factorization.

9911742517264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 729 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 58.

The spelling of 9911742517264 in words is "nine trillion, nine hundred eleven billion, seven hundred forty-two million, five hundred seventeen thousand, two hundred sixty-four".