18467222400 has 1152 divisors, whose sum is σ = 79554908160. Its totient is φ = 4180377600.

The previous prime is 18467222351. The next prime is 18467222467. The reversal of 18467222400 is 422276481.

18467222400 is a `hidden beast` number, since 184 + 6 + 72 + 2 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145411137 + ... + 145411263.

It is an arithmetic number, because the mean of its divisors is an integer number (69058080).

Almost surely, 2^18467222400 is an apocalyptic number.

18467222400 is a gapful number since it is divisible by the number (10) 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 18467222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39777454080).

18467222400 is an abundant number, since it is smaller than the sum of its proper divisors (61087685760).

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

18467222400 is a wasteful number, since it uses less digits than its factorization.

18467222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 18467222400 its reverse (422276481), we get a palindrome (18889498881).

The spelling of 18467222400 in words is "eighteen billion, four hundred sixty-seven million, two hundred twenty-two thousand, four hundred".