13970640503824 has 135 divisors (see below), whose sum is σ = 28675933786557. Its totient is φ = 6593359248000.

The previous prime is 13970640503803. The next prime is 13970640503861. The reversal of 13970640503824 is 42830504607931.

It is a happy number.

The square root of 13970640503824 is 3737732.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12048757361424 + 1921883142400 = 3471132^2 + 1386320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19929586674 + ... + 19929587374.

It is a 1-persistent number, because it is pandigital, but 2⋅13970640503824 = 27941281007648 is not.

Almost surely, 2^{13970640503824} is an apocalyptic number.

13970640503824 is the 3737732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13970640503824

13970640503824 is an abundant number, since it is smaller than the sum of its proper divisors (14705293282733).

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

13970640503824 is an frugal number, since it uses more digits than its factorization.

13970640503824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 13970640503824 in words is "thirteen trillion, nine hundred seventy billion, six hundred forty million, five hundred three thousand, eight hundred twenty-four".