1161241837056 has 480 divisors, whose sum is σ = 4181171554560. Its totient is φ = 314316619776.

The previous prime is 1161241837027. The next prime is 1161241837097. The reversal of 1161241837056 is 6507381421611.

1161241837056 is a `hidden beast` number, since 1 + 161 + 2 + 418 + 3 + 70 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16512240 + ... + 16582416.

It is an arithmetic number, because the mean of its divisors is an integer number (8710774072).

Almost surely, 2^{1161241837056} is an apocalyptic number.

1161241837056 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 1161241837056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090585777280).

1161241837056 is an abundant number, since it is smaller than the sum of its proper divisors (3019929717504).

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

1161241837056 is an frugal number, since it uses more digits than its factorization.

1161241837056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70236 (or 70208 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1161241837056 in words is "one trillion, one hundred sixty-one billion, two hundred forty-one million, eight hundred thirty-seven thousand, fifty-six".