6431192271144 has 96 divisors (see below), whose sum is σ = 17546798942400. Its totient is φ = 2127861964800.

The previous prime is 6431192271109. The next prime is 6431192271149. The reversal of 6431192271144 is 4411722911346.

6431192271144 is a `hidden beast` number, since 6 + 431 + 1 + 9 + 2 + 2 + 71 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6431192271144.

It is not an unprimeable number, because it can be changed into a prime (6431192271149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49484712 + ... + 49614504.

It is an arithmetic number, because the mean of its divisors is an integer number (182779155650).

Almost surely, 2^{6431192271144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6431192271144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8773399471200).

6431192271144 is an abundant number, since it is smaller than the sum of its proper divisors (11115606671256).

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

6431192271144 is a wasteful number, since it uses less digits than its factorization.

6431192271144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134895 (or 134888 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 6431192271144 in words is "six trillion, four hundred thirty-one billion, one hundred ninety-two million, two hundred seventy-one thousand, one hundred forty-four".