16278273648 has 320 divisors, whose sum is σ = 57688529920. Its totient is φ = 4279661568.

The previous prime is 16278273607. The next prime is 16278273659. The reversal of 16278273648 is 84637287261.

16278273648 is a `hidden beast` number, since 1 + 6 + 278 + 2 + 7 + 364 + 8 = 666.

16278273648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a junction number, because it is equal to n+sod(n) for n = 16278273594 and 16278273603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21503286 + ... + 21504042.

It is an arithmetic number, because the mean of its divisors is an integer number (180276656).

Almost surely, 2^16278273648 is an apocalyptic number.

16278273648 is a gapful number since it is divisible by the number (18) 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 16278273648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28844264960).

16278273648 is an abundant number, since it is smaller than the sum of its proper divisors (41410256272).

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

16278273648 is a wasteful number, since it uses less digits than its factorization.

16278273648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1329 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 16278273648 in words is "sixteen billion, two hundred seventy-eight million, two hundred seventy-three thousand, six hundred forty-eight".