11846782025232 has 960 divisors, whose sum is σ = 42289861847040. Its totient is φ = 2763384422400.

The previous prime is 11846782025167. The next prime is 11846782025291. The reversal of 11846782025232 is 23252028764811.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 17144402007 + ... + 17144402697.

It is an arithmetic number, because the mean of its divisors is an integer number (44051939424).

Almost surely, 2^{11846782025232} is an apocalyptic number.

11846782025232 is a gapful number since it is divisible by the number (12) 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 11846782025232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21144930923520).

11846782025232 is an abundant number, since it is smaller than the sum of its proper divisors (30443079821808).

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

11846782025232 is a wasteful number, since it uses less digits than its factorization.

11846782025232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 11846782025232 in words is "eleven trillion, eight hundred forty-six billion, seven hundred eighty-two million, twenty-five thousand, two hundred thirty-two".