5456351264 has 96 divisors (see below), whose sum is σ = 13243378176. Its totient is φ = 2154931200.

The previous prime is 5456351233. The next prime is 5456351273. The reversal of 5456351264 is 4621536545.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2319689 + ... + 2322039.

It is an arithmetic number, because the mean of its divisors is an integer number (137951856).

Almost surely, 2^5456351264 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 5456351264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621689088).

5456351264 is an abundant number, since it is smaller than the sum of its proper divisors (7787026912).

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

5456351264 is a wasteful number, since it uses less digits than its factorization.

5456351264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3170 counting only the distinct ones).

The product of its digits is 432000, while the sum is 41.

The square root of 5456351264 is about 73867.1189637175. The cubic root of 5456351264 is about 1760.4922073762.

The spelling of 5456351264 in words is "five billion, four hundred fifty-six million, three hundred fifty-one thousand, two hundred sixty-four".