14479700587968 has 1008 divisors, whose sum is σ = 50363403374592. Its totient is φ = 3656024064000.

The previous prime is 14479700587907. The next prime is 14479700587993. The reversal of 14479700587968 is 86978500797441.

It is a self number, because there is not a number n which added to its sum of digits gives 14479700587968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12580104193 + ... + 12580105343.

It is an arithmetic number, because the mean of its divisors is an integer number (49963693824).

Almost surely, 2^{14479700587968} 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 14479700587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25181701687296).

14479700587968 is an abundant number, since it is smaller than the sum of its proper divisors (35883702786624).

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

14479700587968 is a wasteful number, since it uses less digits than its factorization.

14479700587968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 75.

The spelling of 14479700587968 in words is "fourteen trillion, four hundred seventy-nine billion, seven hundred million, five hundred eighty-seven thousand, nine hundred sixty-eight".