11748041876088 has 192 divisors, whose sum is σ = 37165152960000. Its totient is φ = 3283109127936.

The previous prime is 11748041876071. The next prime is 11748041876099. The reversal of 11748041876088 is 88067814084711.

11748041876088 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 8 + 0 + 4 + 18 + 7 + 608 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4924806 + ... + 6910122.

It is an arithmetic number, because the mean of its divisors is an integer number (193568505000).

Almost surely, 2^{11748041876088} is an apocalyptic number.

11748041876088 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 11748041876088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18582576480000).

11748041876088 is an abundant number, since it is smaller than the sum of its proper divisors (25417111083912).

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

11748041876088 is a wasteful number, since it uses less digits than its factorization.

11748041876088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985594 (or 1985587 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 63.

The spelling of 11748041876088 in words is "eleven trillion, seven hundred forty-eight billion, forty-one million, eight hundred seventy-six thousand, eighty-eight".