214351373227392 has 192 divisors, whose sum is σ = 617311259136000. Its totient is φ = 71393386982400.

The previous prime is 214351373227373. The next prime is 214351373227403. The reversal of 214351373227392 is 293722373153412.

214351373227392 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 513 + 7 + 32 + 2 + 7 + 3 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×214351373227392² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 11450996209 + ... + 11451014927.

It is an arithmetic number, because the mean of its divisors is an integer number (3215162808000).

Almost surely, 2^{214351373227392} 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 214351373227392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308655629568000).

214351373227392 is an abundant number, since it is smaller than the sum of its proper divisors (402959885908608).

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

214351373227392 is a wasteful number, since it uses less digits than its factorization.

214351373227392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26149 (or 26134 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 214351373227392 in words is "two hundred fourteen trillion, three hundred fifty-one billion, three hundred seventy-three million, two hundred twenty-seven thousand, three hundred ninety-two".