1161003816 has 192 divisors, whose sum is σ = 3905740800. Its totient is φ = 304041600.

The previous prime is 1161003757. The next prime is 1161003841. The reversal of 1161003816 is 6183001611.

1161003816 is a `hidden beast` number, since 1 + 1 + 610 + 0 + 38 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1161003816.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294901 + ... + 298811.

It is an arithmetic number, because the mean of its divisors is an integer number (20342400).

Almost surely, 2^1161003816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161003816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952870400).

1161003816 is an abundant number, since it is smaller than the sum of its proper divisors (2744736984).

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

1161003816 is a wasteful number, since it uses less digits than its factorization.

1161003816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1161003816 is about 34073.5060714333. The cubic root of 1161003816 is about 1051.0205696192.

The spelling of 1161003816 in words is "one billion, one hundred sixty-one million, three thousand, eight hundred sixteen".