2014034630064 has 80 divisors (see below), whose sum is σ = 5253923727360. Its totient is φ = 664769790720.

The previous prime is 2014034630011. The next prime is 2014034630123. The reversal of 2014034630064 is 4600364304102.

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, 11411934 + ... + 11587074.

It is an arithmetic number, because the mean of its divisors is an integer number (65674046592).

Almost surely, 2^{2014034630064} is an apocalyptic number.

2014034630064 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 2014034630064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626961863680).

2014034630064 is an abundant number, since it is smaller than the sum of its proper divisors (3239889097296).

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

2014034630064 is a wasteful number, since it uses less digits than its factorization.

2014034630064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177498 (or 177492 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 2014034630064 its reverse (4600364304102), we get a palindrome (6614398934166).

The spelling of 2014034630064 in words is "two trillion, fourteen billion, thirty-four million, six hundred thirty thousand, sixty-four".