11942109675648 has 768 divisors, whose sum is σ = 38756381040000. Its totient is φ = 3507461554176.

The previous prime is 11942109675641. The next prime is 11942109675679. The reversal of 11942109675648 is 84657690124911.

11942109675648 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 2 + 1 + 0 + 9 + 67 + 564 + 8 = 666.

It is a super-2 number, since 2×11942109675648² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11942109675641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12854800048 + ... + 12854800976.

Almost surely, 2^{11942109675648} is an apocalyptic number.

11942109675648 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 11942109675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19378190520000).

11942109675648 is an abundant number, since it is smaller than the sum of its proper divisors (26814271364352).

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

11942109675648 is a wasteful number, since it uses less digits than its factorization.

11942109675648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 11942109675648 in words is "eleven trillion, nine hundred forty-two billion, one hundred nine million, six hundred seventy-five thousand, six hundred forty-eight".