6241149045504 has 324 divisors, whose sum is σ = 18709689360544. Its totient is φ = 2077738739712.

The previous prime is 6241149045503. The next prime is 6241149045511. The reversal of 6241149045504 is 4055409411426.

6241149045504 is a `hidden beast` number, since 6 + 2 + 4 + 1 + 1 + 4 + 90 + 4 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×6241149045504² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6241149045504.

It is not an unprimeable number, because it can be changed into a prime (6241149045503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1674575289 + ... + 1674579015.

Almost surely, 2^{6241149045504} is an apocalyptic number.

6241149045504 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 6241149045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354844680272).

6241149045504 is an abundant number, since it is smaller than the sum of its proper divisors (12468540315040).

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

6241149045504 is an frugal number, since it uses more digits than its factorization.

6241149045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 6241149045504 in words is "six trillion, two hundred forty-one billion, one hundred forty-nine million, forty-five thousand, five hundred four".