6541221456 has 240 divisors, whose sum is σ = 22907783808. Its totient is φ = 1692748800.

The previous prime is 6541221439. The next prime is 6541221493.

6541221456 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6541221456.

It is a congruent number.

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, 3513966 + ... + 3515826.

Almost surely, 2^6541221456 is an apocalyptic number.

6541221456 is a gapful number since it is divisible by the number (66) 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 6541221456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11453891904).

6541221456 is an abundant number, since it is smaller than the sum of its proper divisors (16366562352).

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

6541221456 is a wasteful number, since it uses less digits than its factorization.

6541221456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2201 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 6541221456 is about 80877.8180714589. The cubic root of 6541221456 is about 1870.1923845269.

It can be divided in two parts, 65412 and 21456, that added together give a palindrome (86868).

The spelling of 6541221456 in words is "six billion, five hundred forty-one million, two hundred twenty-one thousand, four hundred fifty-six".