11948105988 has 288 divisors, whose sum is σ = 40596837120. Its totient is φ = 2965248000.

The previous prime is 11948105921. The next prime is 11948105999. The reversal of 11948105988 is 88950184911.

11948105988 is a `hidden beast` number, since 1 + 1 + 9 + 48 + 1 + 0 + 598 + 8 = 666.

It is a super-2 number, since 2×11948105988² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2169238 + ... + 2174738.

It is an arithmetic number, because the mean of its divisors is an integer number (140961240).

Almost surely, 2^11948105988 is an apocalyptic number.

11948105988 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 11948105988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20298418560).

11948105988 is an abundant number, since it is smaller than the sum of its proper divisors (28648731132).

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

11948105988 is a wasteful number, since it uses less digits than its factorization.

11948105988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 11948105988 in words is "eleven billion, nine hundred forty-eight million, one hundred five thousand, nine hundred eighty-eight".