18225516672 has 256 divisors, whose sum is σ = 62134646400. Its totient is φ = 5197824000.

The previous prime is 18225516671. The next prime is 18225516703. The reversal of 18225516672 is 27661552281.

18225516672 is a `hidden beast` number, since 1 + 8 + 22 + 551 + 6 + 6 + 72 = 666.

It is a super-2 number, since 2×18225516672² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18225516671) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 632172 + ... + 660372.

Almost surely, 2^18225516672 is an apocalyptic number.

18225516672 is a gapful number since it is divisible by the number (12) 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 18225516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31067323200).

18225516672 is an abundant number, since it is smaller than the sum of its proper divisors (43909129728).

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

18225516672 is a wasteful number, since it uses less digits than its factorization.

18225516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28252 (or 28234 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 18225516672 in words is "eighteen billion, two hundred twenty-five million, five hundred sixteen thousand, six hundred seventy-two".