1118165536800 has 720 divisors, whose sum is σ = 4399142311872. Its totient is φ = 274756147200.

The previous prime is 1118165536777. The next prime is 1118165536811. The reversal of 1118165536800 is 86355618111.

It is a happy number.

1118165536800 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 16 + 553 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 817969717 + ... + 817971083.

Almost surely, 2^{1118165536800} is an apocalyptic number.

1118165536800 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 1118165536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199571155936).

1118165536800 is an abundant number, since it is smaller than the sum of its proper divisors (3280976775072).

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

1118165536800 is a wasteful number, since it uses less digits than its factorization.

1118165536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1118165536800 in words is "one trillion, one hundred eighteen billion, one hundred sixty-five million, five hundred thirty-six thousand, eight hundred".