11989281460248 has 96 divisors (see below), whose sum is σ = 32538690662400. Its totient is φ = 3988094298624.

The previous prime is 11989281460223. The next prime is 11989281460283. The reversal of 11989281460248 is 84206418298911.

11989281460248 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 9 + 2 + 8 + 14 + 602 + 4 + 8 = 666.

11989281460248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11989281460248³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433641961 + ... + 433669607.

It is an arithmetic number, because the mean of its divisors is an integer number (338944694400).

Almost surely, 2^{11989281460248} is an apocalyptic number.

11989281460248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11989281460248 is an abundant number, since it is smaller than the sum of its proper divisors (20549409202152).

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

11989281460248 is a wasteful number, since it uses less digits than its factorization.

11989281460248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40001 (or 39994 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 11989281460248 in words is "eleven trillion, nine hundred eighty-nine billion, two hundred eighty-one million, four hundred sixty thousand, two hundred forty-eight".