18130222656 has 672 divisors, whose sum is σ = 67677792000. Its totient is φ = 4755179520.

The previous prime is 18130222651. The next prime is 18130222657. The reversal of 18130222656 is 65622203181.

18130222656 is a `hidden beast` number, since 1 + 81 + 302 + 226 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×18130222656² (a number of 21 digits) contains 22 as substring.

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 18130222656.

It is not an unprimeable number, because it can be changed into a prime (18130222651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100166886 + ... + 100167066.

It is an arithmetic number, because the mean of its divisors is an integer number (100711000).

Almost surely, 2^18130222656 is an apocalyptic number.

18130222656 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 18130222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33838896000).

18130222656 is an abundant number, since it is smaller than the sum of its proper divisors (49547569344).

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

18130222656 is a wasteful number, since it uses less digits than its factorization.

18130222656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 18130222656 in words is "eighteen billion, one hundred thirty million, two hundred twenty-two thousand, six hundred fifty-six".