16193461680 has 480 divisors, whose sum is σ = 63058963968. Its totient is φ = 3827865600.

The previous prime is 16193461649. The next prime is 16193461681. The reversal of 16193461680 is 8616439161.

16193461680 is a `hidden beast` number, since 16 + 19 + 3 + 4 + 616 + 8 + 0 = 666.

16193461680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16193461681) 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 95 ways as a sum of consecutive naturals, for example, 8766517 + ... + 8768363.

Almost surely, 2^16193461680 is an apocalyptic number.

16193461680 is a gapful number since it is divisible by the number (10) 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 16193461680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31529481984).

16193461680 is an abundant number, since it is smaller than the sum of its proper divisors (46865502288).

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

16193461680 is a wasteful number, since it uses less digits than its factorization.

16193461680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16193461680 in words is "sixteen billion, one hundred ninety-three million, four hundred sixty-one thousand, six hundred eighty".