431890785216 has 224 divisors, whose sum is σ = 1387304271360. Its totient is φ = 130668134400.

The previous prime is 431890785191. The next prime is 431890785229. The reversal of 431890785216 is 612587098134.

431890785216 is a `hidden beast` number, since 4 + 31 + 89 + 0 + 7 + 8 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12166405 + ... + 12201851.

It is an arithmetic number, because the mean of its divisors is an integer number (6193322640).

It is a 1-persistent number, because it is pandigital, but 2⋅431890785216 = 863781570432 is not.

Almost surely, 2^431890785216 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 431890785216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693652135680).

431890785216 is an abundant number, since it is smaller than the sum of its proper divisors (955413486144).

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

431890785216 is a wasteful number, since it uses less digits than its factorization.

431890785216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36120 (or 36104 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 431890785216 in words is "four hundred thirty-one billion, eight hundred ninety million, seven hundred eighty-five thousand, two hundred sixteen".