1118968063200 has 432 divisors, whose sum is σ = 4382197802640. Its totient is φ = 275437393920.

The previous prime is 1118968063181. The next prime is 1118968063217. The reversal of 1118968063200 is 23608698111.

1118968063200 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 9 + 6 + 8 + 0 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3497134 + ... + 3803666.

It is an arithmetic number, because the mean of its divisors is an integer number (10143976395).

Almost surely, 2^{1118968063200} is an apocalyptic number.

1118968063200 is a gapful number since it is divisible by the number (10) 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 1118968063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191098901320).

1118968063200 is an abundant number, since it is smaller than the sum of its proper divisors (3263229739440).

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

1118968063200 is a wasteful number, since it uses less digits than its factorization.

1118968063200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306588 (or 306556 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1118968063200 in words is "one trillion, one hundred eighteen billion, nine hundred sixty-eight million, sixty-three thousand, two hundred".