1108185587712 has 1120 divisors, whose sum is σ = 4129616937600. Its totient is φ = 288947699712.

The previous prime is 1108185587651. The next prime is 1108185587759. The reversal of 1108185587712 is 2177855818011.

1108185587712 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 1 + 8 + 558 + 77 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2559319848 + ... + 2559320280.

It is an arithmetic number, because the mean of its divisors is an integer number (3687157980).

Almost surely, 2^{1108185587712} is an apocalyptic number.

1108185587712 is a gapful number since it is divisible by the number (12) 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 1108185587712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064808468800).

1108185587712 is an abundant number, since it is smaller than the sum of its proper divisors (3021431349888).

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

1108185587712 is an equidigital number, since it uses as much as digits as its factorization.

1108185587712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 54.

The spelling of 1108185587712 in words is "one trillion, one hundred eight billion, one hundred eighty-five million, five hundred eighty-seven thousand, seven hundred twelve".