13353002238976 has 33 divisors (see below), whose sum is σ = 26693198191821. Its totient is φ = 6676442652672.

The previous prime is 13353002238941. The next prime is 13353002238977. The reversal of 13353002238976 is 67983220035331.

The square root of 13353002238976 is 3654176.

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., 11561088025600 + 1791914213376 = 3400160^2 + 1338624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13353002238977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 116876536 + ... + 116990728.

Almost surely, 2^{13353002238976} is an apocalyptic number.

13353002238976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13353002238976 is the 3654176-th square number.

It is an amenable number.

13353002238976 is a deficient number, since it is larger than the sum of its proper divisors (13340195952845).

13353002238976 is an frugal number, since it uses more digits than its factorization.

13353002238976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228406 (or 114195 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 13353002238976 in words is "thirteen trillion, three hundred fifty-three billion, two million, two hundred thirty-eight thousand, nine hundred seventy-six".