214063013760 has 128 divisors (see below), whose sum is σ = 682833369600. Its totient is φ = 57041012736.

The previous prime is 214063013743. The next prime is 214063013807. The reversal of 214063013760 is 67310360412.

214063013760 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 (128).

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, 2583861 + ... + 2665419.

It is an arithmetic number, because the mean of its divisors is an integer number (5334635700).

Almost surely, 2^214063013760 is an apocalyptic number.

214063013760 is a gapful number since it is divisible by the number (20) 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 214063013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341416684800).

214063013760 is an abundant number, since it is smaller than the sum of its proper divisors (468770355840).

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

214063013760 is a wasteful number, since it uses less digits than its factorization.

214063013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82948 (or 82936 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 214063013760 in words is "two hundred fourteen billion, sixty-three million, thirteen thousand, seven hundred sixty".