6191413806336 has 288 divisors, whose sum is σ = 18931338316800. Its totient is φ = 1776592650240.

The previous prime is 6191413806299. The next prime is 6191413806337. The reversal of 6191413806336 is 6336083141916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6191413806337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387949525 + ... + 387965483.

It is an arithmetic number, because the mean of its divisors is an integer number (65733813600).

Almost surely, 2^{6191413806336} is an apocalyptic number.

6191413806336 is a gapful number since it is divisible by the number (66) 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 6191413806336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9465669158400).

6191413806336 is an abundant number, since it is smaller than the sum of its proper divisors (12739924510464).

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

6191413806336 is a wasteful number, since it uses less digits than its factorization.

6191413806336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18425 (or 18411 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 6191413806336 in words is "six trillion, one hundred ninety-one billion, four hundred thirteen million, eight hundred six thousand, three hundred thirty-six".