16461813520 has 40 divisors (see below), whose sum is σ = 38307827160. Its totient is φ = 6578856960.

The previous prime is 16461813517. The next prime is 16461813601. The reversal of 16461813520 is 2531816461.

It is a happy number.

16461813520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 569681424 + 15892132096 = 23868^2 + 126064^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 16461813520.

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 7 ways as a sum of consecutive naturals, for example, 811 + ... + 181450.

It is an arithmetic number, because the mean of its divisors is an integer number (957695679).

Almost surely, 2^16461813520 is an apocalyptic number.

16461813520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16461813520 is an abundant number, since it is smaller than the sum of its proper divisors (21846013640).

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

16461813520 is a wasteful number, since it uses less digits than its factorization.

16461813520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183403 (or 183397 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 16461813520 in words is "sixteen billion, four hundred sixty-one million, eight hundred thirteen thousand, five hundred twenty".