1163082816 has 315 divisors, whose sum is σ = 4027896821. Its totient is φ = 320850432.

The previous prime is 1163082773. The next prime is 1163082839. The reversal of 1163082816 is 6182803611.

The square root of 1163082816 is 34104.

It is a perfect power (a square), and thus also a powerful number.

1163082816 is a `hidden beast` number, since 1 + 1 + 630 + 8 + 2 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 609892416 + 553190400 = 24696^2 + 23520^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 40106290 + ... + 40106318.

Almost surely, 2^1163082816 is an apocalyptic number.

1163082816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1163082816 is the 34104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1163082816

1163082816 is an abundant number, since it is smaller than the sum of its proper divisors (2864814005).

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

1163082816 is an frugal number, since it uses more digits than its factorization.

1163082816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The cubic root of 1163082816 is about 1051.6475468283.

Multiplying 1163082816 by its sum of digits (36), we get a square (41870981376 = 204624²).

1163082816 divided by its sum of digits (36) gives a square (32307856 = 5684²).

The spelling of 1163082816 in words is "one billion, one hundred sixty-three million, eighty-two thousand, eight hundred sixteen".