16448848416 has 1296 divisors, whose sum is σ = 69921079200. Its totient is φ = 3736212480.

The previous prime is 16448848399. The next prime is 16448848463. The reversal of 16448848416 is 61484884461.

16448848416 = 66³ + 67³ + ... + 506³.

It is a super-2 number, since 2×16448848416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 865728855 + ... + 865728873.

It is an arithmetic number, because the mean of its divisors is an integer number (53951450).

Almost surely, 2^16448848416 is an apocalyptic number.

16448848416 is a gapful number since it is divisible by the number (16) 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 16448848416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34960539600).

16448848416 is an abundant number, since it is smaller than the sum of its proper divisors (53472230784).

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

16448848416 is a wasteful number, since it uses less digits than its factorization.

16448848416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 55 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 16448848416 in words is "sixteen billion, four hundred forty-eight million, eight hundred forty-eight thousand, four hundred sixteen".