191236814985216 has 3072 divisors, whose sum is σ = 746880196608000. Its totient is φ = 41902512537600.

The previous prime is 191236814985191. The next prime is 191236814985247. The reversal of 191236814985216 is 612589418632191.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 319260124885 + ... + 319260125483.

It is an arithmetic number, because the mean of its divisors is an integer number (243125064000).

Almost surely, 2^{191236814985216} is an apocalyptic number.

191236814985216 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 191236814985216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373440098304000).

191236814985216 is an abundant number, since it is smaller than the sum of its proper divisors (555643381622784).

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

191236814985216 is a wasteful number, since it uses less digits than its factorization.

191236814985216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 756 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 66.

The spelling of 191236814985216 in words is "one hundred ninety-one trillion, two hundred thirty-six billion, eight hundred fourteen million, nine hundred eighty-five thousand, two hundred sixteen".