431789871506112 has 672 divisors, whose sum is σ = 1496485960519680. Its totient is φ = 116280649267200.

The previous prime is 431789871506111. The next prime is 431789871506143. The reversal of 431789871506112 is 211605178987134.

431789871506112 is a `hidden beast` number, since 4 + 3 + 1 + 7 + 8 + 9 + 8 + 7 + 1 + 5 + 0 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 431789871506112.

It is not an unprimeable number, because it can be changed into a prime (431789871506111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27945747987 + ... + 27945763437.

It is a 2-persistent number, because it is pandigital, and so is 2⋅431789871506112 = 863579743012224, but 3⋅431789871506112 = 1295369614518336 is not.

Almost surely, 2^{431789871506112} is an apocalyptic number.

431789871506112 is a gapful number since it is divisible by the number (42) 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 431789871506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748242980259840).

431789871506112 is an abundant number, since it is smaller than the sum of its proper divisors (1064696089013568).

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

431789871506112 is a wasteful number, since it uses less digits than its factorization.

431789871506112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17329 (or 17316 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 431789871506112 in words is "four hundred thirty-one trillion, seven hundred eighty-nine billion, eight hundred seventy-one million, five hundred six thousand, one hundred twelve".