11363431998961 has 27 divisors (see below), whose sum is σ = 13275114150987. Its totient is φ = 9698682329280.

The previous prime is 11363431998931. The next prime is 11363431998983. The reversal of 11363431998961 is 16989913436311.

The square root of 11363431998961 is 3370969.

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., 5758584087025 + 5604847911936 = 2399705^2 + 2367456^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11363431998961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11363431998893 and 11363431998902.

It is not an unprimeable number, because it can be changed into a prime (11363431998901) 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 26 ways as a sum of consecutive naturals, for example, 6394727305 + ... + 6394729081.

It is an arithmetic number, because the mean of its divisors is an integer number (491670894481).

Almost surely, 2^{11363431998961} is an apocalyptic number.

11363431998961 is the 3370969-th square number.

11363431998961 is the 1685485-th centered octagonal number.

It is an amenable number.

11363431998961 is a deficient number, since it is larger than the sum of its proper divisors (1911682152026).

11363431998961 is an frugal number, since it uses more digits than its factorization.

11363431998961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 2055 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 64.

Multiplying 11363431998961 by its sum of digits (64), we get a square (727259647933504 = 26967752²).

The spelling of 11363431998961 in words is "eleven trillion, three hundred sixty-three billion, four hundred thirty-one million, nine hundred ninety-eight thousand, nine hundred sixty-one".