6481385184456 has 1024 divisors, whose sum is σ = 23714396160000. Its totient is φ = 1602078206976.

The previous prime is 6481385184451. The next prime is 6481385184487. The reversal of 6481385184456 is 6544815831846.

6481385184456 is a `hidden beast` number, since 6 + 4 + 8 + 138 + 51 + 8 + 445 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6481385184393 and 6481385184402.

It is not an unprimeable number, because it can be changed into a prime (6481385184451) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 6500887350 + ... + 6500888346.

It is an arithmetic number, because the mean of its divisors is an integer number (23158590000).

Almost surely, 2^{6481385184456} 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 6481385184456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11857198080000).

6481385184456 is an abundant number, since it is smaller than the sum of its proper divisors (17233010975544).

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

6481385184456 is a wasteful number, since it uses less digits than its factorization.

6481385184456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1144 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 6481385184456 in words is "six trillion, four hundred eighty-one billion, three hundred eighty-five million, one hundred eighty-four thousand, four hundred fifty-six".