1181088746256 has 80 divisors (see below), whose sum is σ = 3154710387200. Its totient is φ = 380374548480.

The previous prime is 1181088746221. The next prime is 1181088746269. The reversal of 1181088746256 is 6526478801811.

It is a junction number, because it is equal to n+sod(n) for n = 1181088746196 and 1181088746205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264720 + ... + 1559568.

It is an arithmetic number, because the mean of its divisors is an integer number (39433879840).

Almost surely, 2^{1181088746256} is an apocalyptic number.

1181088746256 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 1181088746256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577355193600).

1181088746256 is an abundant number, since it is smaller than the sum of its proper divisors (1973621640944).

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

1181088746256 is a wasteful number, since it uses less digits than its factorization.

1181088746256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295504 (or 1295498 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 57.

The spelling of 1181088746256 in words is "one trillion, one hundred eighty-one billion, eighty-eight million, seven hundred forty-six thousand, two hundred fifty-six".