16742148192 has 144 divisors (see below), whose sum is σ = 59358604032. Its totient is φ = 4348604160.

The previous prime is 16742148191. The next prime is 16742148209. The reversal of 16742148192 is 29184124761.

16742148192 is a `hidden beast` number, since 1 + 67 + 4 + 21 + 481 + 92 = 666.

16742148192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16742148191) 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, 355308 + ... + 399659.

It is an arithmetic number, because the mean of its divisors is an integer number (412212528).

Almost surely, 2^16742148192 is an apocalyptic number.

16742148192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16742148192 is an abundant number, since it is smaller than the sum of its proper divisors (42616455840).

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

16742148192 is a wasteful number, since it uses less digits than its factorization.

16742148192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755001 (or 754990 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 16742148192 in words is "sixteen billion, seven hundred forty-two million, one hundred forty-eight thousand, one hundred ninety-two".