11406744589056 has 288 divisors, whose sum is σ = 30984629846016. Its totient is φ = 3724890624000.

The previous prime is 11406744588979. The next prime is 11406744589057. The reversal of 11406744589056 is 65098544760411.

It is a super-2 number, since 2×11406744589056² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11406744589057) 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 31 ways as a sum of consecutive naturals, for example, 2695990461 + ... + 2695994691.

Almost surely, 2^{11406744589056} is an apocalyptic number.

11406744589056 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 11406744589056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15492314923008).

11406744589056 is an abundant number, since it is smaller than the sum of its proper divisors (19577885256960).

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

11406744589056 is a wasteful number, since it uses less digits than its factorization.

11406744589056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 11406744589056 in words is "eleven trillion, four hundred six billion, seven hundred forty-four million, five hundred eighty-nine thousand, fifty-six".