14741000064 has 288 divisors, whose sum is σ = 49802491440. Its totient is φ = 4172636160.

The previous prime is 14741000003. The next prime is 14741000083. The reversal of 14741000064 is 46000014741.

14741000064 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 (288).

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 35 ways as a sum of consecutive naturals, for example, 6377469 + ... + 6379779.

Almost surely, 2^14741000064 is an apocalyptic number.

14741000064 is a gapful number since it is divisible by the number (14) 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 14741000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24901245720).

14741000064 is an abundant number, since it is smaller than the sum of its proper divisors (35061491376).

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

14741000064 is a wasteful number, since it uses less digits than its factorization.

14741000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14741000064 in words is "fourteen billion, seven hundred forty-one million, sixty-four", and thus it is an aban number.