5434382016 has 168 divisors, whose sum is σ = 18461614080. Its totient is φ = 1552649472.

The previous prime is 5434381991. The next prime is 5434382039. The reversal of 5434382016 is 6102834345.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83905 + ... + 133823.

It is an arithmetic number, because the mean of its divisors is an integer number (109890560).

Almost surely, 2^5434382016 is an apocalyptic number.

5434382016 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 5434382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230807040).

5434382016 is an abundant number, since it is smaller than the sum of its proper divisors (13027232064).

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

5434382016 is an equidigital number, since it uses as much as digits as its factorization.

5434382016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49953 (or 49931 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5434382016 is about 73718.2610755300. The cubic root of 5434382016 is about 1758.1262358536.

The spelling of 5434382016 in words is "five billion, four hundred thirty-four million, three hundred eighty-two thousand, sixteen".