11126316661824 has 672 divisors, whose sum is σ = 38714496307200. Its totient is φ = 2791567134720.

The previous prime is 11126316661787. The next prime is 11126316661829. The reversal of 11126316661824 is 42816661362111.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (11126316661829) 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 95 ways as a sum of consecutive naturals, for example, 223669147 + ... + 223718885.

It is an arithmetic number, because the mean of its divisors is an integer number (57610857600).

Almost surely, 2^{11126316661824} is an apocalyptic number.

11126316661824 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 11126316661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19357248153600).

11126316661824 is an abundant number, since it is smaller than the sum of its proper divisors (27588179645376).

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

11126316661824 is a wasteful number, since it uses less digits than its factorization.

11126316661824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49871 (or 49854 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The spelling of 11126316661824 in words is "eleven trillion, one hundred twenty-six billion, three hundred sixteen million, six hundred sixty-one thousand, eight hundred twenty-four".