6213164348160 has 576 divisors, whose sum is σ = 27488557071360. Its totient is φ = 1291046584320.

The previous prime is 6213164348101. The next prime is 6213164348177. The reversal of 6213164348160 is 618434613126.

6213164348160 is a `hidden beast` number, since 6 + 2 + 1 + 3 + 164 + 3 + 481 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6213164348160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1493724 + ... + 3828516.

It is an arithmetic number, because the mean of its divisors is an integer number (47723189360).

Almost surely, 2^{6213164348160} is an apocalyptic number.

6213164348160 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 6213164348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13744278535680).

6213164348160 is an abundant number, since it is smaller than the sum of its proper divisors (21275392723200).

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

6213164348160 is a wasteful number, since it uses less digits than its factorization.

6213164348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334841 (or 2334821 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 6213164348160 in words is "six trillion, two hundred thirteen billion, one hundred sixty-four million, three hundred forty-eight thousand, one hundred sixty".