5834347456 has 56 divisors (see below), whose sum is σ = 13280928480. Its totient is φ = 2491087872.

The previous prime is 5834347451. The next prime is 5834347459. The reversal of 5834347456 is 6547434385.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×5834347456² = 68079220474667343872, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5834347451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96306 + ... + 144718.

Almost surely, 2^5834347456 is an apocalyptic number.

5834347456 is a gapful number since it is divisible by the number (56) 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 5834347456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640464240).

5834347456 is an abundant number, since it is smaller than the sum of its proper divisors (7446581024).

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

5834347456 is a wasteful number, since it uses less digits than its factorization.

5834347456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48701 (or 48691 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 49.

The square root of 5834347456 is about 76382.9002853387. The cubic root of 5834347456 is about 1800.2414754228.

The spelling of 5834347456 in words is "five billion, eight hundred thirty-four million, three hundred forty-seven thousand, four hundred fifty-six".