1618628256 has 144 divisors (see below), whose sum is σ = 5274360000. Its totient is φ = 461251584.

The previous prime is 1618628213. The next prime is 1618628261. The reversal of 1618628256 is 6528268161.

1618628256 is a `hidden beast` number, since 1 + 6 + 18 + 628 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1618628256² = 5239914862243203072, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1005180 + ... + 1006788.

It is an arithmetic number, because the mean of its divisors is an integer number (36627500).

Almost surely, 2^1618628256 is an apocalyptic number.

1618628256 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 1618628256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637180000).

1618628256 is an abundant number, since it is smaller than the sum of its proper divisors (3655731744).

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

1618628256 is a wasteful number, since it uses less digits than its factorization.

1618628256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2120 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1618628256 is about 40232.1793593139. The cubic root of 1618628256 is about 1174.1287051495.

The spelling of 1618628256 in words is "one billion, six hundred eighteen million, six hundred twenty-eight thousand, two hundred fifty-six".