191104009112016 has 1280 divisors, whose sum is σ = 787268171612160. Its totient is φ = 42757963776000.

The previous prime is 191104009111987. The next prime is 191104009112063. The reversal of 191104009112016 is 610211900401191.

191104009112016 is a `hidden beast` number, since 1 + 9 + 110 + 400 + 9 + 1 + 120 + 16 = 666.

191104009112016 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 407549056 + ... + 408017696.

It is an arithmetic number, because the mean of its divisors is an integer number (615053259072).

Almost surely, 2^{191104009112016} is an apocalyptic number.

191104009112016 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 191104009112016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393634085806080).

191104009112016 is an abundant number, since it is smaller than the sum of its proper divisors (596164162500144).

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

191104009112016 is a wasteful number, since it uses less digits than its factorization.

191104009112016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468753 (or 468741 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The spelling of 191104009112016 in words is "one hundred ninety-one trillion, one hundred four billion, nine million, one hundred twelve thousand, sixteen".