11838471888576 has 448 divisors, whose sum is σ = 34259427145728. Its totient is φ = 3593475981312.

The previous prime is 11838471888557. The next prime is 11838471888577. The reversal of 11838471888576 is 67588817483811.

11838471888576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11838471888498 and 11838471888507.

It is not an unprimeable number, because it can be changed into a prime (11838471888577) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9759662946 + ... + 9759664158.

Almost surely, 2^{11838471888576} is an apocalyptic number.

11838471888576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11838471888576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17129713572864).

11838471888576 is an abundant number, since it is smaller than the sum of its proper divisors (22420955257152).

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

11838471888576 is a wasteful number, since it uses less digits than its factorization.

11838471888576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1958 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 75.

The spelling of 11838471888576 in words is "eleven trillion, eight hundred thirty-eight billion, four hundred seventy-one million, eight hundred eighty-eight thousand, five hundred seventy-six".