214132343231412 has 432 divisors, whose sum is σ = 575712905354496. Its totient is φ = 67028176512000.

The previous prime is 214132343231351. The next prime is 214132343231431.

214132343231412 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 2 + 3 + 4 + 3 + 231 + 412 = 666.

214132343231412 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211384346218 + ... + 211384347230.

Almost surely, 2^{214132343231412} 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 214132343231412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287856452677248).

214132343231412 is an abundant number, since it is smaller than the sum of its proper divisors (361580562123084).

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

214132343231412 is a wasteful number, since it uses less digits than its factorization.

214132343231412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1534 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 214132343231412 in words is "two hundred fourteen trillion, one hundred thirty-two billion, three hundred forty-three million, two hundred thirty-one thousand, four hundred twelve".