6451318512 has 240 divisors, whose sum is σ = 19225769472. Its totient is φ = 2016875520.

The previous prime is 6451318487. The next prime is 6451318513. The reversal of 6451318512 is 2158131546.

6451318512 is a `hidden beast` number, since 6 + 4 + 5 + 131 + 8 + 512 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6451318513) 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, 18591523 + ... + 18591869.

Almost surely, 2^6451318512 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 6451318512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9612884736).

6451318512 is an abundant number, since it is smaller than the sum of its proper divisors (12774450960).

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

6451318512 is a wasteful number, since it uses less digits than its factorization.

6451318512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 6451318512 is about 80320.1002987422. The cubic root of 6451318512 is about 1861.5848164576.

The spelling of 6451318512 in words is "six billion, four hundred fifty-one million, three hundred eighteen thousand, five hundred twelve".