6554941521408 has 800 divisors, whose sum is σ = 22898389409280. Its totient is φ = 1828198563840.

The previous prime is 6554941521397. The next prime is 6554941521413. The reversal of 6554941521408 is 8041251494556.

It is a happy number.

6554941521408 is a `hidden beast` number, since 6 + 5 + 5 + 4 + 9 + 415 + 214 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2461486285 + ... + 2461488947.

Almost surely, 2^{6554941521408} 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 6554941521408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11449194704640).

6554941521408 is an abundant number, since it is smaller than the sum of its proper divisors (16343447887872).

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

6554941521408 is a wasteful number, since it uses less digits than its factorization.

6554941521408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 6554941521408 in words is "six trillion, five hundred fifty-four billion, nine hundred forty-one million, five hundred twenty-one thousand, four hundred eight".