1118385709056 has 1680 divisors, whose sum is σ = 4393189262880. Its totient is φ = 280178196480.

The previous prime is 1118385709039. The next prime is 1118385709073. The reversal of 1118385709056 is 6509075838111.

It is a happy number.

1118385709056 is a `hidden beast` number, since 1 + 1 + 18 + 3 + 8 + 570 + 9 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (1118385709039) and next prime (1118385709073).

It is a super-2 number, since 2×1118385709056² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1118385708993 and 1118385709011.

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, 18955689955 + ... + 18955690013.

Almost surely, 2^{1118385709056} is an apocalyptic number.

1118385709056 is a gapful number since it is divisible by the number (16) 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 1118385709056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196594631440).

1118385709056 is an abundant number, since it is smaller than the sum of its proper divisors (3274803553824).

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

1118385709056 is an equidigital number, since it uses as much as digits as its factorization.

1118385709056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 1118385709056 in words is "one trillion, one hundred eighteen billion, three hundred eighty-five million, seven hundred nine thousand, fifty-six".