11263152384 has 405 divisors, whose sum is σ = 37474594311. Its totient is φ = 3362135040.

The previous prime is 11263152293. The next prime is 11263152391. The reversal of 11263152384 is 48325136211.

The square root of 11263152384 is 106128.

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

11263152384 is a `hidden beast` number, since 1 + 1 + 26 + 31 + 523 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 168106719 + ... + 168106785.

Almost surely, 2^11263152384 is an apocalyptic number.

11263152384 is the 106128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11263152384

11263152384 is an abundant number, since it is smaller than the sum of its proper divisors (26211441927).

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

11263152384 is an frugal number, since it uses more digits than its factorization.

11263152384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 83 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Multiplying 11263152384 by its sum of digits (36), we get a square (405473485824 = 636768²).

11263152384 divided by its sum of digits (36) gives a square (312865344 = 17688²).

Adding to 11263152384 its reverse (48325136211), we get a palindrome (59588288595).

The spelling of 11263152384 in words is "eleven billion, two hundred sixty-three million, one hundred fifty-two thousand, three hundred eighty-four".