214135121314224 has 120 divisors (see below), whose sum is σ = 662968916273664. Its totient is φ = 63975495024000.

The previous prime is 214135121314157. The next prime is 214135121314241. The reversal of 214135121314224 is 422413121531412.

214135121314224 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 512 + 131 + 4 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951903832 + ... + 952128759.

Almost surely, 2^{214135121314224} is an apocalyptic number.

214135121314224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214135121314224 is an abundant number, since it is smaller than the sum of its proper divisors (448833794959440).

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

214135121314224 is a wasteful number, since it uses less digits than its factorization.

214135121314224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904032687 (or 1904032678 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 214135121314224 its reverse (422413121531412), we get a palindrome (636548242845636).

The spelling of 214135121314224 in words is "two hundred fourteen trillion, one hundred thirty-five billion, one hundred twenty-one million, three hundred fourteen thousand, two hundred twenty-four".