11250233938944 has 3168 divisors, whose sum is σ = 47731928444928. Its totient is φ = 2554807910400.

The previous prime is 11250233938921. The next prime is 11250233939027. The reversal of 11250233938944 is 44983933205211.

It is a happy number.

11250233938944 is a `hidden beast` number, since 1 + 1 + 2 + 502 + 3 + 3 + 93 + 8 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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 287 ways as a sum of consecutive naturals, for example, 239366679529 + ... + 239366679575.

Almost surely, 2^{11250233938944} is an apocalyptic number.

11250233938944 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 11250233938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23865964222464).

11250233938944 is an abundant number, since it is smaller than the sum of its proper divisors (36481694505984).

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

11250233938944 is a wasteful number, since it uses less digits than its factorization.

11250233938944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 11250233938944 in words is "eleven trillion, two hundred fifty billion, two hundred thirty-three million, nine hundred thirty-eight thousand, nine hundred forty-four".