190945663727616 has 576 divisors, whose sum is σ = 647301076531200. Its totient is φ = 53100011520000.

The previous prime is 190945663727551. The next prime is 190945663727647. The reversal of 190945663727616 is 616727366549091.

190945663727616 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 4 + 566 + 37 + 27 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 768729841 + ... + 768978191.

It is an arithmetic number, because the mean of its divisors is an integer number (1123786591200).

Almost surely, 2^{190945663727616} is an apocalyptic number.

190945663727616 is a gapful number since it is divisible by the number (16) 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 190945663727616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323650538265600).

190945663727616 is an abundant number, since it is smaller than the sum of its proper divisors (456355412803584).

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

190945663727616 is a wasteful number, since it uses less digits than its factorization.

190945663727616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248546 (or 248523 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 190945663727616 in words is "one hundred ninety trillion, nine hundred forty-five billion, six hundred sixty-three million, seven hundred twenty-seven thousand, six hundred sixteen".