214021134160 has 80 divisors (see below), whose sum is σ = 526953772800. Its totient is φ = 80559802368.

The previous prime is 214021134137. The next prime is 214021134179. The reversal of 214021134160 is 61431120412.

214021134160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 16257661 + ... + 16270819.

It is an arithmetic number, because the mean of its divisors is an integer number (6586922160).

Almost surely, 2^214021134160 is an apocalyptic number.

214021134160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214021134160 is an abundant number, since it is smaller than the sum of its proper divisors (312932638640).

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

214021134160 is a wasteful number, since it uses less digits than its factorization.

214021134160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25148 (or 25142 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 214021134160 its reverse (61431120412), we get a palindrome (275452254572).

The spelling of 214021134160 in words is "two hundred fourteen billion, twenty-one million, one hundred thirty-four thousand, one hundred sixty".