16461249584 has 120 divisors (see below), whose sum is σ = 35881088880. Its totient is φ = 7271986176.

The previous prime is 16461249529. The next prime is 16461249589. The reversal of 16461249584 is 48594216461.

16461249584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16461249589) 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 23 ways as a sum of consecutive naturals, for example, 24314654 + ... + 24315330.

It is an arithmetic number, because the mean of its divisors is an integer number (299009074).

Almost surely, 2^16461249584 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 16461249584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17940544440).

16461249584 is an abundant number, since it is smaller than the sum of its proper divisors (19419839296).

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

16461249584 is a wasteful number, since it uses less digits than its factorization.

16461249584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 860 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 50.

The spelling of 16461249584 in words is "sixteen billion, four hundred sixty-one million, two hundred forty-nine thousand, five hundred eighty-four".