11888106048 has 896 divisors, whose sum is σ = 47519539200. Its totient is φ = 2824740864.

The previous prime is 11888106007. The next prime is 11888106049. The reversal of 11888106048 is 84060188811.

It is a super-3 number, since 3×11888106048³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11888105994 and 11888106012.

It is not an unprimeable number, because it can be changed into a prime (11888106049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68717290 + ... + 68717462.

It is an arithmetic number, because the mean of its divisors is an integer number (53035200).

Almost surely, 2^11888106048 is an apocalyptic number.

11888106048 is a gapful number since it is divisible by the number (18) 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 11888106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23759769600).

11888106048 is an abundant number, since it is smaller than the sum of its proper divisors (35631433152).

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

11888106048 is a wasteful number, since it uses less digits than its factorization.

11888106048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 11888106048 in words is "eleven billion, eight hundred eighty-eight million, one hundred six thousand, forty-eight".