16283626848 has 288 divisors, whose sum is σ = 51372921600. Its totient is φ = 4869393408.

The previous prime is 16283626841. The next prime is 16283626859. The reversal of 16283626848 is 84862638261.

16283626848 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 3 + 626 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 16283626794 and 16283626803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16283626841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13717711 + ... + 13718897.

It is an arithmetic number, because the mean of its divisors is an integer number (178378200).

Almost surely, 2^16283626848 is an apocalyptic number.

16283626848 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 16283626848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25686460800).

16283626848 is an abundant number, since it is smaller than the sum of its proper divisors (35089294752).

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

16283626848 is a wasteful number, since it uses less digits than its factorization.

16283626848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1343 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 16283626848 in words is "sixteen billion, two hundred eighty-three million, six hundred twenty-six thousand, eight hundred forty-eight".