214398175104 has 128 divisors (see below), whose sum is σ = 636804400800. Its totient is φ = 71010680832.

The previous prime is 214398175093. The next prime is 214398175127. The reversal of 214398175104 is 401571893412.

214398175104 is a `hidden beast` number, since 2 + 1 + 43 + 98 + 1 + 7 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 214398175104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345024 + ... + 740160.

Almost surely, 2^214398175104 is an apocalyptic number.

214398175104 is a gapful number since it is divisible by the number (24) 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 214398175104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318402200400).

214398175104 is an abundant number, since it is smaller than the sum of its proper divisors (422406225696).

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

214398175104 is a wasteful number, since it uses less digits than its factorization.

214398175104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395317 (or 395299 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 214398175104 in words is "two hundred fourteen billion, three hundred ninety-eight million, one hundred seventy-five thousand, one hundred four".