13445511413152 has 96 divisors (see below), whose sum is σ = 32585931310464. Its totient is φ = 5318054784000.

The previous prime is 13445511413137. The next prime is 13445511413221. The reversal of 13445511413152 is 25131411554431.

It is a super-2 number, since 2×13445511413152² (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 14401527 + ... + 15306697.

It is an arithmetic number, because the mean of its divisors is an integer number (339436784484).

Almost surely, 2^{13445511413152} 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 13445511413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16292965655232).

13445511413152 is an abundant number, since it is smaller than the sum of its proper divisors (19140419897312).

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

13445511413152 is a wasteful number, since it uses less digits than its factorization.

13445511413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910302 (or 910294 counting only the distinct ones).

The product of its digits is 144000, while the sum is 40.

Adding to 13445511413152 its reverse (25131411554431), we get a palindrome (38576922967583).

The spelling of 13445511413152 in words is "thirteen trillion, four hundred forty-five billion, five hundred eleven million, four hundred thirteen thousand, one hundred fifty-two".