5383251456 has 320 divisors, whose sum is σ = 16911417600. Its totient is φ = 1504051200.

The previous prime is 5383251449. The next prime is 5383251473. The reversal of 5383251456 is 6541523835.

It is a super-2 number, since 2×5383251456² = 57958792477052239872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13161780 + ... + 13162188.

It is an arithmetic number, because the mean of its divisors is an integer number (52848180).

Almost surely, 2^5383251456 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 5383251456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8455708800).

5383251456 is an abundant number, since it is smaller than the sum of its proper divisors (11528166144).

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

5383251456 is a wasteful number, since it uses less digits than its factorization.

5383251456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 485 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 5383251456 is about 73370.6443749815. The cubic root of 5383251456 is about 1752.5949481695.

The spelling of 5383251456 in words is "five billion, three hundred eighty-three million, two hundred fifty-one thousand, four hundred fifty-six".