214529871779712 has 320 divisors, whose sum is σ = 676042501503600. Its totient is φ = 67298517467136.

The previous prime is 214529871779701. The next prime is 214529871779801. The reversal of 214529871779712 is 217977178925412.

It is a happy number.

214529871779712 is a `hidden beast` number, since 2 + 1 + 4 + 529 + 8 + 7 + 1 + 7 + 7 + 97 + 1 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2926341714 + ... + 2926415022.

Almost surely, 2^{214529871779712} 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 214529871779712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338021250751800).

214529871779712 is an abundant number, since it is smaller than the sum of its proper divisors (461512629723888).

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

214529871779712 is a wasteful number, since it uses less digits than its factorization.

214529871779712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89955 (or 89934 counting only the distinct ones).

The product of its digits is 248935680, while the sum is 72.

The spelling of 214529871779712 in words is "two hundred fourteen trillion, five hundred twenty-nine billion, eight hundred seventy-one million, seven hundred seventy-nine thousand, seven hundred twelve".