6211579228416 has 243 divisors, whose sum is σ = 18088922527221. Its totient is φ = 2049989824512.

The previous prime is 6211579228411. The next prime is 6211579228451. The reversal of 6211579228416 is 6148229751126.

The square root of 6211579228416 is 2492304.

It is a perfect power (a square), and thus also a powerful number.

6211579228416 is a `hidden beast` number, since 6 + 2 + 1 + 1 + 579 + 2 + 28 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3648711225600 + 2562868002816 = 1910160^2 + 1600896^2 .

It is not an unprimeable number, because it can be changed into a prime (6211579228411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16389390915 + ... + 16389391293.

Almost surely, 2^{6211579228416} is an apocalyptic number.

6211579228416 is the 2492304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6211579228416

6211579228416 is an abundant number, since it is smaller than the sum of its proper divisors (11877343298805).

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

6211579228416 is an frugal number, since it uses more digits than its factorization.

6211579228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 521 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 6211579228416 in words is "six trillion, two hundred eleven billion, five hundred seventy-nine million, two hundred twenty-eight thousand, four hundred sixteen".