6221531441664 has 480 divisors, whose sum is σ = 23215565108736. Its totient is φ = 1615979704320.

The previous prime is 6221531441641. The next prime is 6221531441677. The reversal of 6221531441664 is 4661441351226.

6221531441664 is a `hidden beast` number, since 6 + 2 + 2 + 1 + 531 + 44 + 16 + 64 = 666.

It is a super-2 number, since 2×6221531441664² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9255319 + ... + 9904745.

Almost surely, 2^{6221531441664} is an apocalyptic number.

6221531441664 is a gapful number since it is divisible by the number (64) 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 6221531441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11607782554368).

6221531441664 is an abundant number, since it is smaller than the sum of its proper divisors (16994033667072).

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

6221531441664 is an equidigital number, since it uses as much as digits as its factorization.

6221531441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649478 (or 649450 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 6221531441664 in words is "six trillion, two hundred twenty-one billion, five hundred thirty-one million, four hundred forty-one thousand, six hundred sixty-four".