214391255313312 has 3456 divisors, whose sum is σ = 870235893596160. Its totient is φ = 51323567016960.

The previous prime is 214391255313269. The next prime is 214391255313373. The reversal of 214391255313312 is 213313552193412.

214391255313312 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 9 + 12 + 5 + 5 + 313 + 312 = 666.

It is a super-2 number, since 2×214391255313312² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1283779971853 + ... + 1283779972019.

It is an arithmetic number, because the mean of its divisors is an integer number (251804367360).

Almost surely, 2^{214391255313312} is an apocalyptic number.

214391255313312 is a gapful number since it is divisible by the number (22) 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 214391255313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435117946798080).

214391255313312 is an abundant number, since it is smaller than the sum of its proper divisors (655844638282848).

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

214391255313312 is an equidigital number, since it uses as much as digits as its factorization.

214391255313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 256 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 214391255313312 in words is "two hundred fourteen trillion, three hundred ninety-one billion, two hundred fifty-five million, three hundred thirteen thousand, three hundred twelve".