11481693120 has 84 divisors (see below), whose sum is σ = 39492250200. Its totient is φ = 3061784064.

The previous prime is 11481693089. The next prime is 11481693131. The reversal of 11481693120 is 2139618411.

11481693120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990470 + ... + 1996229.

Almost surely, 2^11481693120 is an apocalyptic number.

11481693120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11481693120 is an abundant number, since it is smaller than the sum of its proper divisors (28010557080).

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

11481693120 is a wasteful number, since it uses less digits than its factorization.

11481693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986722 (or 3986709 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

It can be divided in two parts, 114816 and 93120, that added together give a square (207936 = 456²).

The spelling of 11481693120 in words is "eleven billion, four hundred eighty-one million, six hundred ninety-three thousand, one hundred twenty".