11632243506345 has 192 divisors, whose sum is σ = 26015425413120. Its totient is φ = 4666194777600.

The previous prime is 11632243506293. The next prime is 11632243506371. The reversal of 11632243506345 is 54360534223611.

11632243506345 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 2 + 2 + 4 + 3 + 5 + 0 + 634 + 5 = 666.

It is not a de Polignac number, because 11632243506345 - 2⁶ = 11632243506281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11632243506345.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41645242 + ... + 41923628.

It is an arithmetic number, because the mean of its divisors is an integer number (135497007360).

Almost surely, 2^{11632243506345} is an apocalyptic number.

11632243506345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11632243506345 is an abundant number, since it is smaller than the sum of its proper divisors (14383181906775).

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

11632243506345 is a wasteful number, since it uses less digits than its factorization.

11632243506345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278836 (or 278833 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 11632243506345 its reverse (54360534223611), we get a palindrome (65992777729956).

The spelling of 11632243506345 in words is "eleven trillion, six hundred thirty-two billion, two hundred forty-three million, five hundred six thousand, three hundred forty-five".