11427143133084 has 144 divisors (see below), whose sum is σ = 31777049152800. Its totient is φ = 3184863682560.

The previous prime is 11427143133019. The next prime is 11427143133127. The reversal of 11427143133084 is 48033134172411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 226035442 + ... + 226085990.

It is an arithmetic number, because the mean of its divisors is an integer number (220673952450).

Almost surely, 2^{11427143133084} is an apocalyptic number.

11427143133084 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 11427143133084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15888524576400).

11427143133084 is an abundant number, since it is smaller than the sum of its proper divisors (20349906019716).

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

11427143133084 is a wasteful number, since it uses less digits than its factorization.

11427143133084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59988 (or 59979 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 11427143133084 in words is "eleven trillion, four hundred twenty-seven billion, one hundred forty-three million, one hundred thirty-three thousand, eighty-four".