214356076248672 has 240 divisors, whose sum is σ = 631136891024640. Its totient is φ = 71370267789312.

The previous prime is 214356076248649. The next prime is 214356076248707. The reversal of 214356076248672 is 276842670653412.

214356076248672 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 560 + 7 + 6 + 2 + 4 + 8 + 67 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21288710454 + ... + 21288720522.

It is an arithmetic number, because the mean of its divisors is an integer number (2629737045936).

Almost surely, 2^{214356076248672} 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 214356076248672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315568445512320).

214356076248672 is an abundant number, since it is smaller than the sum of its proper divisors (416780814775968).

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

214356076248672 is a wasteful number, since it uses less digits than its factorization.

214356076248672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18675 (or 18658 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 214356076248672 in words is "two hundred fourteen trillion, three hundred fifty-six billion, seventy-six million, two hundred forty-eight thousand, six hundred seventy-two".