16942595064192 has 384 divisors, whose sum is σ = 58443937315200. Its totient is φ = 4817789383680.

The previous prime is 16942595064191. The next prime is 16942595064217. The reversal of 16942595064192 is 29146059524961.

16942595064192 is a `hidden beast` number, since 1 + 6 + 94 + 25 + 9 + 506 + 4 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16942595064192² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16942595064191) 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 47 ways as a sum of consecutive naturals, for example, 35494503 + ... + 35968665.

It is an arithmetic number, because the mean of its divisors is an integer number (152197753425).

Almost surely, 2^{16942595064192} is an apocalyptic number.

16942595064192 is a gapful number since it is divisible by the number (12) 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 16942595064192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29221968657600).

16942595064192 is an abundant number, since it is smaller than the sum of its proper divisors (41501342251008).

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

16942595064192 is a wasteful number, since it uses less digits than its factorization.

16942595064192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474411 (or 474386 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 16942595064192 in words is "sixteen trillion, nine hundred forty-two billion, five hundred ninety-five million, sixty-four thousand, one hundred ninety-two".