431098371254512 has 160 divisors (see below), whose sum is σ = 926907458500800. Its totient is φ = 192992843636736.

The previous prime is 431098371254377. The next prime is 431098371254519. The reversal of 431098371254512 is 215452173890134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431098371254519) 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, 7681285683 + ... + 7681341805.

It is an arithmetic number, because the mean of its divisors is an integer number (5793171615630).

Almost surely, 2^{431098371254512} 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 431098371254512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463453729250400).

431098371254512 is an abundant number, since it is smaller than the sum of its proper divisors (495809087246288).

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

431098371254512 is a wasteful number, since it uses less digits than its factorization.

431098371254512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64115 (or 64109 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 431098371254512 in words is "four hundred thirty-one trillion, ninety-eight billion, three hundred seventy-one million, two hundred fifty-four thousand, five hundred twelve".