214104122014002 has 256 divisors, whose sum is σ = 496471223808000. Its totient is φ = 60918809149440.

The previous prime is 214104122014001. The next prime is 214104122014033. The reversal of 214104122014002 is 200410221401412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (214104122014001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29133772624 + ... + 29133779972.

It is an arithmetic number, because the mean of its divisors is an integer number (1939340718000).

Almost surely, 2^{214104122014002} is an apocalyptic number.

214104122014002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214104122014002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248235611904000).

214104122014002 is an abundant number, since it is smaller than the sum of its proper divisors (282367101793998).

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

214104122014002 is a wasteful number, since it uses less digits than its factorization.

214104122014002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8673.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 214104122014002 its reverse (200410221401412), we get a palindrome (414514343415414).

The spelling of 214104122014002 in words is "two hundred fourteen trillion, one hundred four billion, one hundred twenty-two million, fourteen thousand, two".