13605521250048 has 2304 divisors, whose sum is σ = 50960471654400. Its totient is φ = 3121667112960.

The previous prime is 13605521250037. The next prime is 13605521250049. The reversal of 13605521250048 is 84005212550631.

It is a super-2 number, since 2×13605521250048² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13605521249991 and 13605521250009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13605521250049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 124821295818 + ... + 124821295926.

Almost surely, 2^{13605521250048} 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 13605521250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25480235827200).

13605521250048 is an abundant number, since it is smaller than the sum of its proper divisors (37354950404352).

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

13605521250048 is a wasteful number, since it uses less digits than its factorization.

13605521250048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 13605521250048 in words is "thirteen trillion, six hundred five billion, five hundred twenty-one million, two hundred fifty thousand, forty-eight".