16223150361600 has 2112 divisors, whose sum is σ = 74108029004800. Its totient is φ = 3386344734720.

The previous prime is 16223150361571. The next prime is 16223150361617. The reversal of 16223150361600 is 616305132261.

16223150361600 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 3 + 15 + 0 + 36 + 1 + 600 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 6101221071 + ... + 6101223729.

Almost surely, 2^{16223150361600} is an apocalyptic number.

16223150361600 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 16223150361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37054014502400).

16223150361600 is an abundant number, since it is smaller than the sum of its proper divisors (57884878643200).

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

16223150361600 is a wasteful number, since it uses less digits than its factorization.

16223150361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 16223150361600 its reverse (616305132261), we get a palindrome (16839455493861).

The spelling of 16223150361600 in words is "sixteen trillion, two hundred twenty-three billion, one hundred fifty million, three hundred sixty-one thousand, six hundred".