11998956530401 has 9 divisors (see below), whose sum is σ = 12284643957651. Its totient is φ = 11719765543752.

The previous prime is 11998956530399. The next prime is 11998956530447. The reversal of 11998956530401 is 10403565989911.

The square root of 11998956530401 is 3463951.

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., 6869981734225 + 5128974796176 = 2621065^2 + 2264724^2 .

It is not a de Polignac number, because 11998956530401 - 2¹ = 11998956530399 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11998956530401.

It is not an unprimeable number, because it can be changed into a prime (11998956560401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 148909615 + ... + 148990171.

It is an arithmetic number, because the mean of its divisors is an integer number (1364960439739).

Almost surely, 2^{11998956530401} is an apocalyptic number.

11998956530401 is the 3463951-st square number.

11998956530401 is the 1731976-th centered octagonal number.

It is an amenable number.

11998956530401 is a deficient number, since it is larger than the sum of its proper divisors (285687427250).

11998956530401 is an frugal number, since it uses more digits than its factorization.

11998956530401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161200 (or 80600 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 61.

The spelling of 11998956530401 in words is "eleven trillion, nine hundred ninety-eight billion, nine hundred fifty-six million, five hundred thirty thousand, four hundred one".