16287314661744 has 640 divisors, whose sum is σ = 51445507276800. Its totient is φ = 4340495351808.

The previous prime is 16287314661691. The next prime is 16287314661773. The reversal of 16287314661744 is 44716641378261.

16287314661744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16287314661744² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18445429527 + ... + 18445430409.

It is an arithmetic number, because the mean of its divisors is an integer number (80383605120).

Almost surely, 2^{16287314661744} is an apocalyptic number.

16287314661744 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 16287314661744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25722753638400).

16287314661744 is an abundant number, since it is smaller than the sum of its proper divisors (35158192615056).

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

16287314661744 is a wasteful number, since it uses less digits than its factorization.

16287314661744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1343 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 60.

The spelling of 16287314661744 in words is "sixteen trillion, two hundred eighty-seven billion, three hundred fourteen million, six hundred sixty-one thousand, seven hundred forty-four".