16416186920448 has 1280 divisors, whose sum is σ = 55396288696320. Its totient is φ = 4214646374400.

The previous prime is 16416186920447. The next prime is 16416186920503. The reversal of 16416186920448 is 84402968161461.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16416186920391 and 16416186920400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16416186920443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70455737740 + ... + 70455737972.

It is an arithmetic number, because the mean of its divisors is an integer number (43278350544).

Almost surely, 2^{16416186920448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16416186920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27698144348160).

16416186920448 is an abundant number, since it is smaller than the sum of its proper divisors (38980101775872).

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

16416186920448 is a wasteful number, since it uses less digits than its factorization.

16416186920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 16416186920448 in words is "sixteen trillion, four hundred sixteen billion, one hundred eighty-six million, nine hundred twenty thousand, four hundred forty-eight".