214431767112920 has 128 divisors (see below), whose sum is σ = 557135903237760. Its totient is φ = 72754289786880.

The previous prime is 214431767112887. The next prime is 214431767112967. The reversal of 214431767112920 is 29211767134412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276128222 + ... + 276903698.

It is an arithmetic number, because the mean of its divisors is an integer number (4352624244045).

Almost surely, 2^{214431767112920} is an apocalyptic number.

214431767112920 is a gapful number since it is divisible by the number (20) 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 214431767112920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278567951618880).

214431767112920 is an abundant number, since it is smaller than the sum of its proper divisors (342704136124840).

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

214431767112920 is a wasteful number, since it uses less digits than its factorization.

214431767112920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785773 (or 785769 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 214431767112920 in words is "two hundred fourteen trillion, four hundred thirty-one billion, seven hundred sixty-seven million, one hundred twelve thousand, nine hundred twenty".