11632390175641 has 3 divisors (see below), whose sum is σ = 11632393586271. Its totient is φ = 11632386765012.

The previous prime is 11632390175561. The next prime is 11632390175669. The reversal of 11632390175641 is 14657109323611.

The square root of 11632390175641 is 3410629.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 8152001439241 + 3480388736400 = 2855171^2 + 1865580^2 .

It is not a de Polignac number, because 11632390175641 - 2¹⁹ = 11632389651353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11632390175741) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1705315 + ... + 5115943.

It is an arithmetic number, because the mean of its divisors is an integer number (3877464528757).

Almost surely, 2^{11632390175641} is an apocalyptic number.

11632390175641 is the 3410629-th square number.

11632390175641 is the 1705315-th centered octagonal number.

It is an amenable number.

11632390175641 is a deficient number, since it is larger than the sum of its proper divisors (3410630).

11632390175641 is an frugal number, since it uses more digits than its factorization.

11632390175641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821258 (or 3410629 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 11632390175641 by its sum of digits (49), we get a square (569987118606409 = 23874403²).

The spelling of 11632390175641 in words is "eleven trillion, six hundred thirty-two billion, three hundred ninety million, one hundred seventy-five thousand, six hundred forty-one".