5461338816 has 140 divisors (see below), whose sum is σ = 16334137512. Its totient is φ = 1804142592.

The previous prime is 5461338781. The next prime is 5461338823. The reversal of 5461338816 is 6188331645.

5461338816 is a `hidden beast` number, since 546 + 13 + 3 + 88 + 16 = 666.

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 19 ways as a sum of consecutive naturals, for example, 581131 + ... + 590453.

Almost surely, 2^5461338816 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 5461338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167068756).

5461338816 is an abundant number, since it is smaller than the sum of its proper divisors (10872798696).

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

5461338816 is a wasteful number, since it uses less digits than its factorization.

5461338816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9460 (or 9441 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 5461338816 is about 73900.8715510176. The cubic root of 5461338816 is about 1761.0284553792.

The spelling of 5461338816 in words is "five billion, four hundred sixty-one million, three hundred thirty-eight thousand, eight hundred sixteen".