1118200386944 has 128 divisors (see below), whose sum is σ = 2412944640000. Its totient is φ = 514641346560.

The previous prime is 1118200386937. The next prime is 1118200386949. The reversal of 1118200386944 is 4496830028111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1118200386944² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1118200386949) 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 15 ways as a sum of consecutive naturals, for example, 16302032 + ... + 16370480.

It is an arithmetic number, because the mean of its divisors is an integer number (18851130000).

Almost surely, 2^{1118200386944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1118200386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206472320000).

1118200386944 is an abundant number, since it is smaller than the sum of its proper divisors (1294744253056).

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

1118200386944 is a wasteful number, since it uses less digits than its factorization.

1118200386944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68696 (or 68684 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 1118200386944 in words is "one trillion, one hundred eighteen billion, two hundred million, three hundred eighty-six thousand, nine hundred forty-four".