2014500457568 has 384 divisors, whose sum is σ = 4635574272000. Its totient is φ = 856482232320.

The previous prime is 2014500457547. The next prime is 2014500457577. The reversal of 2014500457568 is 8657540054102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2020561646 + ... + 2020562642.

It is an arithmetic number, because the mean of its divisors is an integer number (12071808000).

Almost surely, 2^{2014500457568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014500457568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317787136000).

2014500457568 is an abundant number, since it is smaller than the sum of its proper divisors (2621073814432).

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

2014500457568 is a wasteful number, since it uses less digits than its factorization.

2014500457568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 47.

The spelling of 2014500457568 in words is "two trillion, fourteen billion, five hundred million, four hundred fifty-seven thousand, five hundred sixty-eight".