16388407467264 has 216 divisors, whose sum is σ = 50560130380480. Its totient is φ = 4616445173760.

The previous prime is 16388407467253. The next prime is 16388407467269. The reversal of 16388407467264 is 46276470488361.

16388407467264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16388407467195 and 16388407467204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16388407467269) 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, 26798052 + ... + 27402780.

Almost surely, 2^{16388407467264} is an apocalyptic number.

16388407467264 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 16388407467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280065190240).

16388407467264 is an abundant number, since it is smaller than the sum of its proper divisors (34171722913216).

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

16388407467264 is an frugal number, since it uses more digits than its factorization.

16388407467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604897 (or 604812 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 66.

The spelling of 16388407467264 in words is "sixteen trillion, three hundred eighty-eight billion, four hundred seven million, four hundred sixty-seven thousand, two hundred sixty-four".