6451349856 has 384 divisors, whose sum is σ = 21919113216. Its totient is φ = 1617960960.

The previous prime is 6451349843. The next prime is 6451349897. The reversal of 6451349856 is 6589431546.

It is a super-2 number, since 2×6451349856² = 83239829929022441472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 6451349799 and 6451349808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11298051 + ... + 11298621.

It is an arithmetic number, because the mean of its divisors is an integer number (57081024).

Almost surely, 2^6451349856 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 6451349856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10959556608).

6451349856 is an abundant number, since it is smaller than the sum of its proper divisors (15467763360).

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

6451349856 is a wasteful number, since it uses less digits than its factorization.

6451349856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The square root of 6451349856 is about 80320.2954177834. The cubic root of 6451349856 is about 1861.5878313152.

The spelling of 6451349856 in words is "six billion, four hundred fifty-one million, three hundred forty-nine thousand, eight hundred fifty-six".