16233745986304 has 216 divisors, whose sum is σ = 41818309646400. Its totient is φ = 6217632368640.

The previous prime is 16233745986301. The next prime is 16233745986307. The reversal of 16233745986304 is 40368954733261.

It is an interprime number because it is at equal distance from previous prime (16233745986301) and next prime (16233745986307).

It is not an unprimeable number, because it can be changed into a prime (16233745986301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7144027 + ... + 9138085.

It is an arithmetic number, because the mean of its divisors is an integer number (193603285400).

It is a 1-persistent number, because it is pandigital, but 2⋅16233745986304 = 32467491972608 is not.

Almost surely, 2^{16233745986304} is an apocalyptic number.

16233745986304 is a gapful number since it is divisible by the number (14) 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 16233745986304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20909154823200).

16233745986304 is an abundant number, since it is smaller than the sum of its proper divisors (25584563660096).

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

16233745986304 is a wasteful number, since it uses less digits than its factorization.

16233745986304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994159 (or 1994138 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 61.

The spelling of 16233745986304 in words is "sixteen trillion, two hundred thirty-three billion, seven hundred forty-five million, nine hundred eighty-six thousand, three hundred four".