5461409016 has 256 divisors, whose sum is σ = 17882726400. Its totient is φ = 1511975808.

The previous prime is 5461408999. The next prime is 5461409017. The reversal of 5461409016 is 6109041645.

5461409016 is a `hidden beast` number, since 546 + 14 + 0 + 90 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461409017) by changing a digit.

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, 10857421 + ... + 10857923.

It is an arithmetic number, because the mean of its divisors is an integer number (69854400).

Almost surely, 2^5461409016 is an apocalyptic number.

5461409016 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 5461409016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8941363200).

5461409016 is an abundant number, since it is smaller than the sum of its proper divisors (12421317384).

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

5461409016 is a wasteful number, since it uses less digits than its factorization.

5461409016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5461409016 is about 73901.3465100603. The cubic root of 5461409016 is about 1761.0360007615.

The spelling of 5461409016 in words is "five billion, four hundred sixty-one million, four hundred nine thousand, sixteen".