214347133340928 has 864 divisors, whose sum is σ = 746784589824000. Its totient is φ = 59033950617600.

The previous prime is 214347133340911. The next prime is 214347133340947. The reversal of 214347133340928 is 829043331743412.

214347133340928 is a `hidden beast` number, since 2 + 1 + 43 + 47 + 133 + 3 + 409 + 28 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14690358913 + ... + 14690373503.

It is an arithmetic number, because the mean of its divisors is an integer number (864334016000).

Almost surely, 2^{214347133340928} is an apocalyptic number.

214347133340928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214347133340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373392294912000).

214347133340928 is an abundant number, since it is smaller than the sum of its proper divisors (532437456483072).

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

214347133340928 is a wasteful number, since it uses less digits than its factorization.

214347133340928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15304 (or 15273 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 214347133340928 in words is "two hundred fourteen trillion, three hundred forty-seven billion, one hundred thirty-three million, three hundred forty thousand, nine hundred twenty-eight".