1163295216 has 160 divisors (see below), whose sum is σ = 3535488000. Its totient is φ = 365202432.

The previous prime is 1163295209. The next prime is 1163295229. The reversal of 1163295216 is 6125923611.

1163295216 is a `hidden beast` number, since 1 + 1 + 632 + 9 + 5 + 2 + 16 = 666.

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

It is a congruent number.

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, 1961416 + ... + 1962008.

It is an arithmetic number, because the mean of its divisors is an integer number (22096800).

Almost surely, 2^1163295216 is an apocalyptic number.

1163295216 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 1163295216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767744000).

1163295216 is an abundant number, since it is smaller than the sum of its proper divisors (2372192784).

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

1163295216 is a wasteful number, since it uses less digits than its factorization.

1163295216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 856 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 1163295216 is about 34107.1138620670. The cubic root of 1163295216 is about 1051.7115595653.

The spelling of 1163295216 in words is "one billion, one hundred sixty-three million, two hundred ninety-five thousand, two hundred sixteen".