6142821216 has 96 divisors (see below), whose sum is σ = 18453980160. Its totient is φ = 1752662016.

The previous prime is 6142821203. The next prime is 6142821221. The reversal of 6142821216 is 6121282416.

It is a happy number.

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

It is a super-4 number, since 4×6142821216⁴ (a number of 40 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510825 + ... + 522711.

It is an arithmetic number, because the mean of its divisors is an integer number (192228960).

Almost surely, 2^6142821216 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 6142821216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9226990080).

6142821216 is an abundant number, since it is smaller than the sum of its proper divisors (12311158944).

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

6142821216 is a wasteful number, since it uses less digits than its factorization.

6142821216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12676 (or 12668 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 6142821216 is about 78376.1520872261. The cubic root of 6142821216 is about 1831.4256477086.

The spelling of 6142821216 in words is "six billion, one hundred forty-two million, eight hundred twenty-one thousand, two hundred sixteen".