1841124966336 has 1008 divisors, whose sum is σ = 6069632849280. Its totient is φ = 552851619840.

The previous prime is 1841124966311. The next prime is 1841124966337. The reversal of 1841124966336 is 6336694211481.

It is a happy number.

1841124966336 is a `hidden beast` number, since 1 + 8 + 4 + 1 + 1 + 249 + 66 + 336 = 666.

It is a super-2 number, since 2×1841124966336² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1841124966337) 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 143 ways as a sum of consecutive naturals, for example, 14054388991 + ... + 14054389121.

It is an arithmetic number, because the mean of its divisors is an integer number (6021461160).

Almost surely, 2^{1841124966336} is an apocalyptic number.

1841124966336 is a gapful number since it is divisible by the number (16) 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 1841124966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034816424640).

1841124966336 is an abundant number, since it is smaller than the sum of its proper divisors (4228507882944).

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

1841124966336 is a wasteful number, since it uses less digits than its factorization.

1841124966336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 265 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 1841124966336 in words is "one trillion, eight hundred forty-one billion, one hundred twenty-four million, nine hundred sixty-six thousand, three hundred thirty-six".