18211225032 has 1152 divisors, whose sum is σ = 74769408000. Its totient is φ = 4003084800.

The previous prime is 18211224943. The next prime is 18211225037. The reversal of 18211225032 is 23052211281.

18211225032 is a `hidden beast` number, since 18 + 21 + 122 + 503 + 2 = 666.

It is a super-2 number, since 2×18211225032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18211224987 and 18211225005.

It is not an unprimeable number, because it can be changed into a prime (18211225037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 587458857 + ... + 587458887.

It is an arithmetic number, because the mean of its divisors is an integer number (64904000).

Almost surely, 2^18211225032 is an apocalyptic number.

18211225032 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 18211225032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37384704000).

18211225032 is an abundant number, since it is smaller than the sum of its proper divisors (56558182968).

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

18211225032 is a wasteful number, since it uses less digits than its factorization.

18211225032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 18211225032 in words is "eighteen billion, two hundred eleven million, two hundred twenty-five thousand, thirty-two".