6214091545200 has 1440 divisors, whose sum is σ = 26565144721920. Its totient is φ = 1226050560000.

The previous prime is 6214091545199. The next prime is 6214091545223. The reversal of 6214091545200 is 25451904126.

It is a super-2 number, since 2×6214091545200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1144186485 + ... + 1144191915.

It is an arithmetic number, because the mean of its divisors is an integer number (18448017168).

Almost surely, 2^{6214091545200} is an apocalyptic number.

6214091545200 is a gapful number since it is divisible by the number (60) 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 6214091545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13282572360960).

6214091545200 is an abundant number, since it is smaller than the sum of its proper divisors (20351053176720).

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

6214091545200 is a wasteful number, since it uses less digits than its factorization.

6214091545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5567 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 6214091545200 in words is "six trillion, two hundred fourteen billion, ninety-one million, five hundred forty-five thousand, two hundred".