14958980064 has 288 divisors, whose sum is σ = 50676627456. Its totient is φ = 4095636480.

The previous prime is 14958980063. The next prime is 14958980087. The reversal of 14958980064 is 46008985941.

14958980064 is a `hidden beast` number, since 1 + 495 + 8 + 98 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14958980063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6685954 + ... + 6688190.

It is an arithmetic number, because the mean of its divisors is an integer number (175960512).

Almost surely, 2^14958980064 is an apocalyptic number.

14958980064 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 14958980064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25338313728).

14958980064 is an abundant number, since it is smaller than the sum of its proper divisors (35717647392).

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

14958980064 is a wasteful number, since it uses less digits than its factorization.

14958980064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 14958980064 in words is "fourteen billion, nine hundred fifty-eight million, nine hundred eighty thousand, sixty-four".