11848775904 has 240 divisors, whose sum is σ = 40753899648. Its totient is φ = 3306417408.

The previous prime is 11848775893. The next prime is 11848775921. The reversal of 11848775904 is 40957784811.

11848775904 is a `hidden beast` number, since 1 + 1 + 8 + 48 + 7 + 7 + 590 + 4 = 666.

11848775904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11848775904² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 772599 + ... + 787785.

Almost surely, 2^11848775904 is an apocalyptic number.

11848775904 is a gapful number since it is divisible by the number (14) 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 11848775904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376949824).

11848775904 is an abundant number, since it is smaller than the sum of its proper divisors (28905123744).

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

11848775904 is a wasteful number, since it uses less digits than its factorization.

11848775904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15259 (or 15242 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 11848775904 in words is "eleven billion, eight hundred forty-eight million, seven hundred seventy-five thousand, nine hundred four".