13243601958976 has 189 divisors, whose sum is σ = 27474328472493. Its totient is φ = 6333913044480.

The previous prime is 13243601958947. The next prime is 13243601959099. The reversal of 13243601958976 is 67985910634231.

The square root of 13243601958976 is 3639176.

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., 1551579149376 + 11692022809600 = 1245624^2 + 3419360^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

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, 88883234550 + ... + 88883234698.

It is a 2-persistent number, because it is pandigital, and so is 2⋅13243601958976 = 26487203917952, but 3⋅13243601958976 = 39730805876928 is not.

Almost surely, 2^{13243601958976} is an apocalyptic number.

13243601958976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13243601958976 is the 3639176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13243601958976

13243601958976 is an abundant number, since it is smaller than the sum of its proper divisors (14230726513517).

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

13243601958976 is an frugal number, since it uses more digits than its factorization.

13243601958976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

Multiplying 13243601958976 by its sum of digits (64), we get a square (847590525374464 = 29113408²).

13243601958976 divided by its sum of digits (64) gives a square (206931280609 = 454897²).

The spelling of 13243601958976 in words is "thirteen trillion, two hundred forty-three billion, six hundred one million, nine hundred fifty-eight thousand, nine hundred seventy-six".