11648971023858 has 128 divisors (see below), whose sum is σ = 29732430551040. Its totient is φ = 3311664471360.

The previous prime is 11648971023853. The next prime is 11648971023901. The reversal of 11648971023858 is 85832017984611.

11648971023858 is a `hidden beast` number, since 1 + 1 + 6 + 489 + 71 + 0 + 2 + 3 + 85 + 8 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11648971023795 and 11648971023804.

It is not an unprimeable number, because it can be changed into a prime (11648971023853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358336441 + ... + 358368947.

It is an arithmetic number, because the mean of its divisors is an integer number (232284613680).

It is a 1-persistent number, because it is pandigital, but 2⋅11648971023858 = 23297942047716 is not.

Almost surely, 2^{11648971023858} is an apocalyptic number.

11648971023858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11648971023858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14866215275520).

11648971023858 is an abundant number, since it is smaller than the sum of its proper divisors (18083459527182).

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

11648971023858 is a wasteful number, since it uses less digits than its factorization.

11648971023858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37229 (or 37223 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 11648971023858 in words is "eleven trillion, six hundred forty-eight billion, nine hundred seventy-one million, twenty-three thousand, eight hundred fifty-eight".