1118363107680 has 1536 divisors, whose sum is σ = 5012365639680. Its totient is φ = 226546606080.

The previous prime is 1118363107663. The next prime is 1118363107699. The reversal of 1118363107680 is 867013638111.

1118363107680 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 3 + 631 + 0 + 7 + 6 + 8 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 1986435079 + ... + 1986435641.

It is an arithmetic number, because the mean of its divisors is an integer number (3263258880).

Almost surely, 2^{1118363107680} is an apocalyptic number.

1118363107680 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 1118363107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506182819840).

1118363107680 is an abundant number, since it is smaller than the sum of its proper divisors (3894002532000).

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

1118363107680 is a wasteful number, since it uses less digits than its factorization.

1118363107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1118363107680 in words is "one trillion, one hundred eighteen billion, three hundred sixty-three million, one hundred seven thousand, six hundred eighty".