14938868729664 has 672 divisors, whose sum is σ = 48860095100544. Its totient is φ = 4488056709120.

The previous prime is 14938868729641. The next prime is 14938868729723. The reversal of 14938868729664 is 46692786883941.

14938868729664 is a `hidden beast` number, since 1 + 493 + 8 + 8 + 68 + 7 + 2 + 9 + 6 + 64 = 666.

It is a super-2 number, since 2×14938868729664² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 19325832382 + ... + 19325833154.

It is an arithmetic number, because the mean of its divisors is an integer number (72708474852).

Almost surely, 2^{14938868729664} 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 14938868729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24430047550272).

14938868729664 is an abundant number, since it is smaller than the sum of its proper divisors (33921226370880).

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

14938868729664 is a wasteful number, since it uses less digits than its factorization.

14938868729664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1615 counting only the distinct ones).

The product of its digits is 6019743744, while the sum is 81.

The spelling of 14938868729664 in words is "fourteen trillion, nine hundred thirty-eight billion, eight hundred sixty-eight million, seven hundred twenty-nine thousand, six hundred sixty-four".