18196221456 has 480 divisors, whose sum is σ = 64904417280. Its totient is φ = 4778182656.

The previous prime is 18196221437. The next prime is 18196221469. The reversal of 18196221456 is 65412269181.

18196221456 is a `hidden beast` number, since 1 + 8 + 1 + 9 + 622 + 14 + 5 + 6 = 666.

It is a super-2 number, since 2×18196221456² (a number of 21 digits) 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 95 ways as a sum of consecutive naturals, for example, 41074771 + ... + 41075213.

It is an arithmetic number, because the mean of its divisors is an integer number (135217536).

Almost surely, 2^18196221456 is an apocalyptic number.

18196221456 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 18196221456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32452208640).

18196221456 is an abundant number, since it is smaller than the sum of its proper divisors (46708195824).

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

18196221456 is a wasteful number, since it uses less digits than its factorization.

18196221456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 519 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 18196221456 in words is "eighteen billion, one hundred ninety-six million, two hundred twenty-one thousand, four hundred fifty-six".