6451134266304 has 448 divisors, whose sum is σ = 23416463687680. Its totient is φ = 1695949332480.

The previous prime is 6451134266261. The next prime is 6451134266321. The reversal of 6451134266304 is 4036624311546.

6451134266304 is a `hidden beast` number, since 6 + 4 + 5 + 1 + 1 + 3 + 4 + 2 + 6 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 6451134266304.

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, 49153089 + ... + 49284159.

It is an arithmetic number, because the mean of its divisors is an integer number (52268892160).

Almost surely, 2^{6451134266304} is an apocalyptic number.

6451134266304 is a gapful number since it is divisible by the number (64) 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 6451134266304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708231843840).

6451134266304 is an abundant number, since it is smaller than the sum of its proper divisors (16965329421376).

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

6451134266304 is a wasteful number, since it uses less digits than its factorization.

6451134266304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131425 (or 131409 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 6451134266304 in words is "six trillion, four hundred fifty-one billion, one hundred thirty-four million, two hundred sixty-six thousand, three hundred four".