11679975648 has 144 divisors (see below), whose sum is σ = 37403638272. Its totient is φ = 3425184000.

The previous prime is 11679975631. The next prime is 11679975661. The reversal of 11679975648 is 84657997611.

11679975648 is a `hidden beast` number, since 1 + 1 + 67 + 9 + 9 + 7 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11679975648² (a number of 21 digits) contains 22 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, 38743 + ... + 157673.

It is an arithmetic number, because the mean of its divisors is an integer number (259747488).

Almost surely, 2^11679975648 is an apocalyptic number.

11679975648 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 11679975648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701819136).

11679975648 is an abundant number, since it is smaller than the sum of its proper divisors (25723662624).

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

11679975648 is a wasteful number, since it uses less digits than its factorization.

11679975648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118989 (or 118978 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 11679975648 in words is "eleven billion, six hundred seventy-nine million, nine hundred seventy-five thousand, six hundred forty-eight".