6017221252224 has 384 divisors, whose sum is σ = 21517933382400. Its totient is φ = 1571549257728.

The previous prime is 6017221252223. The next prime is 6017221252249. The reversal of 6017221252224 is 4222521227106.

6017221252224 is a `hidden beast` number, since 6 + 0 + 172 + 212 + 52 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (6017221252223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10519062 + ... + 11076330.

It is an arithmetic number, because the mean of its divisors is an integer number (56036284850).

Almost surely, 2^{6017221252224} is an apocalyptic number.

6017221252224 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 6017221252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10758966691200).

6017221252224 is an abundant number, since it is smaller than the sum of its proper divisors (15500712130176).

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

6017221252224 is a wasteful number, since it uses less digits than its factorization.

6017221252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557412 (or 557397 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 6017221252224 in words is "six trillion, seventeen billion, two hundred twenty-one million, two hundred fifty-two thousand, two hundred twenty-four".