1161516816 has 120 divisors (see below), whose sum is σ = 3539952000. Its totient is φ = 354122496.

The previous prime is 1161516803. The next prime is 1161516821. The reversal of 1161516816 is 6186151611.

1161516816 is a `hidden beast` number, since 1 + 1 + 61 + 516 + 81 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72025 + ... + 86663.

It is an arithmetic number, because the mean of its divisors is an integer number (29499600).

Almost surely, 2^1161516816 is an apocalyptic number.

1161516816 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 1161516816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769976000).

1161516816 is an abundant number, since it is smaller than the sum of its proper divisors (2378435184).

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

1161516816 is a wasteful number, since it uses less digits than its factorization.

1161516816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14701 (or 14692 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The square root of 1161516816 is about 34081.0330829334. The cubic root of 1161516816 is about 1051.1753477952.

The spelling of 1161516816 in words is "one billion, one hundred sixty-one million, five hundred sixteen thousand, eight hundred sixteen".