1155983616 has 288 divisors, whose sum is σ = 3630144000. Its totient is φ = 362299392.

The previous prime is 1155983603. The next prime is 1155983641. The reversal of 1155983616 is 6163895511.

1155983616 is a `hidden beast` number, since 1 + 1 + 559 + 83 + 6 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14632665 + ... + 14632743.

Almost surely, 2^1155983616 is an apocalyptic number.

1155983616 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 1155983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815072000).

1155983616 is an abundant number, since it is smaller than the sum of its proper divisors (2474160384).

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

1155983616 is an equidigital number, since it uses as much as digits as its factorization.

1155983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 1155983616 is about 33999.7590579698. The cubic root of 1155983616 is about 1049.5035040428.

The spelling of 1155983616 in words is "one billion, one hundred fifty-five million, nine hundred eighty-three thousand, six hundred sixteen".