214807571311680 has 84 divisors (see below), whose sum is σ = 738848542167372. Its totient is φ = 57282019015680.

The previous prime is 214807571311651. The next prime is 214807571311783. The reversal of 214807571311680 is 86113175708412.

It is a happy number.

214807571311680 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 0 + 7 + 571 + 3 + 1 + 1 + 68 + 0 = 666.

214807571311680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 154032325272576 + 60775246039104 = 12410976^2 + 7795848^2 .

It is a super-2 number, since 2×214807571311680² (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 11 ways as a sum of consecutive naturals, for example, 37292978251 + ... + 37292984010.

It is an arithmetic number, because the mean of its divisors is an integer number (8795815978183).

Almost surely, 2^{214807571311680} is an apocalyptic number.

214807571311680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214807571311680 is an abundant number, since it is smaller than the sum of its proper divisors (524040970855692).

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

214807571311680 is a wasteful number, since it uses less digits than its factorization.

214807571311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74585962284 (or 74585962271 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 214807571311680 in words is "two hundred fourteen trillion, eight hundred seven billion, five hundred seventy-one million, three hundred eleven thousand, six hundred eighty".