18272172441600 has 3672 divisors, whose sum is σ = 88157159232480. Its totient is φ = 3596982681600.

The previous prime is 18272172441571. The next prime is 18272172441613. The reversal of 18272172441600 is 614427127281.

18272172441600 is a `hidden beast` number, since 1 + 8 + 2 + 7 + 2 + 17 + 24 + 4 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 961693286391 + ... + 961693286409.

Almost surely, 2^{18272172441600} is an apocalyptic number.

18272172441600 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 18272172441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44078579616240).

18272172441600 is an abundant number, since it is smaller than the sum of its proper divisors (69884986790880).

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

18272172441600 is an equidigital number, since it uses as much as digits as its factorization.

18272172441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

Adding to 18272172441600 its reverse (614427127281), we get a palindrome (18886599568881).

The spelling of 18272172441600 in words is "eighteen trillion, two hundred seventy-two billion, one hundred seventy-two million, four hundred forty-one thousand, six hundred".