16213966848 has 96 divisors (see below), whose sum is σ = 46840485900. Its totient is φ = 5404557312.

The previous prime is 16213966841. The next prime is 16213966891. The reversal of 16213966848 is 84866931261.

16213966848 is a `hidden beast` number, since 1 + 621 + 3 + 9 + 6 + 6 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 16213966794 and 16213966803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16213966841) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267423 + ... + 322401.

Almost surely, 2^16213966848 is an apocalyptic number.

16213966848 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 16213966848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23420242950).

16213966848 is an abundant number, since it is smaller than the sum of its proper divisors (30626519052).

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

16213966848 is an frugal number, since it uses more digits than its factorization.

16213966848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55015 (or 54984 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 16213966848 in words is "sixteen billion, two hundred thirteen million, nine hundred sixty-six thousand, eight hundred forty-eight".