214139488704 has 112 divisors (see below), whose sum is σ = 600157405728. Its totient is φ = 67152805888.

The previous prime is 214139488697. The next prime is 214139488723. The reversal of 214139488704 is 407884931412.

214139488704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 8581654 + ... + 8606570.

Almost surely, 2^214139488704 is an apocalyptic number.

214139488704 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 214139488704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300078702864).

214139488704 is an abundant number, since it is smaller than the sum of its proper divisors (386017917024).

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

214139488704 is a wasteful number, since it uses less digits than its factorization.

214139488704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27582 (or 27572 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 214139488704 in words is "two hundred fourteen billion, one hundred thirty-nine million, four hundred eighty-eight thousand, seven hundred four".