6481213360128 has 864 divisors, whose sum is σ = 21441643423200. Its totient is φ = 1932504956928.

The previous prime is 6481213360091. The next prime is 6481213360147. The reversal of 6481213360128 is 8210633121846.

6481213360128 is a `hidden beast` number, since 6 + 4 + 8 + 1 + 2 + 1 + 33 + 601 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×6481213360128² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51033176001 + ... + 51033176127.

It is an arithmetic number, because the mean of its divisors is an integer number (24816716925).

Almost surely, 2^{6481213360128} 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 6481213360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10720821711600).

6481213360128 is an abundant number, since it is smaller than the sum of its proper divisors (14960430063072).

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

6481213360128 is a wasteful number, since it uses less digits than its factorization.

6481213360128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 6481213360128 in words is "six trillion, four hundred eighty-one billion, two hundred thirteen million, three hundred sixty thousand, one hundred twenty-eight".