1161990144 has 416 divisors, whose sum is σ = 4193792000. Its totient is φ = 310542336.

The previous prime is 1161990121. The next prime is 1161990157. The reversal of 1161990144 is 4410991611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1161990099 and 1161990108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14708697 + ... + 14708775.

Almost surely, 2^1161990144 is an apocalyptic number.

1161990144 is a gapful number since it is divisible by the number (14) 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 1161990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096896000).

1161990144 is an abundant number, since it is smaller than the sum of its proper divisors (3031801856).

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

1161990144 is an equidigital number, since it uses as much as digits as its factorization.

1161990144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1161990144 is about 34087.9765313226. The cubic root of 1161990144 is about 1051.3181160410.

The spelling of 1161990144 in words is "one billion, one hundred sixty-one million, nine hundred ninety thousand, one hundred forty-four".