1018943712000 has 1008 divisors, whose sum is σ = 3931287010560. Its totient is φ = 262766592000.

The previous prime is 1018943711957. The next prime is 1018943712023. The reversal of 1018943712000 is 2173498101.

It is a happy number.

1018943712000 is a `hidden beast` number, since 1 + 0 + 1 + 89 + 4 + 371 + 200 + 0 = 666.

1018943712000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 723167296 + ... + 723168704.

It is an arithmetic number, because the mean of its divisors is an integer number (3900086320).

Almost surely, 2^{1018943712000} is an apocalyptic number.

1018943712000 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 1018943712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965643505280).

1018943712000 is an abundant number, since it is smaller than the sum of its proper divisors (2912343298560).

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

1018943712000 is an frugal number, since it uses more digits than its factorization.

1018943712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1018943712000 in words is "one trillion, eighteen billion, nine hundred forty-three million, seven hundred twelve thousand".