1611233856 has 168 divisors, whose sum is σ = 4819176544. Its totient is φ = 533744640.

The previous prime is 1611233851. The next prime is 1611233863. The reversal of 1611233856 is 6583321161.

1611233856 is a `hidden beast` number, since 1 + 611 + 2 + 3 + 38 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1611233856.

It is not an unprimeable number, because it can be changed into a prime (1611233851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4867611 + ... + 4867941.

Almost surely, 2^1611233856 is an apocalyptic number.

1611233856 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 1611233856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409588272).

1611233856 is an abundant number, since it is smaller than the sum of its proper divisors (3207942688).

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

1611233856 is an equidigital number, since it uses as much as digits as its factorization.

1611233856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 649 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1611233856 is about 40140.1775780825. The cubic root of 1611233856 is about 1172.3380465917.

The spelling of 1611233856 in words is "one billion, six hundred eleven million, two hundred thirty-three thousand, eight hundred fifty-six".