11411251121984 has 56 divisors (see below), whose sum is σ = 25879491812160. Its totient is φ = 4890459764736.

The previous prime is 11411251121969. The next prime is 11411251121987. The reversal of 11411251121984 is 48912115211411.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411251121987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35728952 + ... + 36046920.

It is an arithmetic number, because the mean of its divisors is an integer number (462133782360).

Almost surely, 2^{11411251121984} is an apocalyptic number.

11411251121984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11411251121984 is an abundant number, since it is smaller than the sum of its proper divisors (14468240690176).

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

11411251121984 is an equidigital number, since it uses as much as digits as its factorization.

11411251121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398095 (or 398085 counting only the distinct ones).

The product of its digits is 23040, while the sum is 41.

The spelling of 11411251121984 in words is "eleven trillion, four hundred eleven billion, two hundred fifty-one million, one hundred twenty-one thousand, nine hundred eighty-four".