5434193856 has 448 divisors, whose sum is σ = 18643681280. Its totient is φ = 1358622720.

The previous prime is 5434193783. The next prime is 5434193873. The reversal of 5434193856 is 6583914345.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42788865 + ... + 42788991.

It is an arithmetic number, because the mean of its divisors is an integer number (41615360).

Almost surely, 2^5434193856 is an apocalyptic number.

5434193856 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 5434193856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9321840640).

5434193856 is an abundant number, since it is smaller than the sum of its proper divisors (13209487424).

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

5434193856 is a wasteful number, since it uses less digits than its factorization.

5434193856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 5434193856 is about 73716.9848542383. The cubic root of 5434193856 is about 1758.1059445031.

The spelling of 5434193856 in words is "five billion, four hundred thirty-four million, one hundred ninety-three thousand, eight hundred fifty-six".