13445252217072 has 300 divisors, whose sum is σ = 43071212104536. Its totient is φ = 4025182947840.

The previous prime is 13445252216993. The next prime is 13445252217077. The reversal of 13445252217072 is 27071225254431.

13445252217072 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 52 + 522 + 1 + 7 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13445252217077) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22773447 + ... + 23356377.

Almost surely, 2^{13445252217072} is an apocalyptic number.

13445252217072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13445252217072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21535606052268).

13445252217072 is an abundant number, since it is smaller than the sum of its proper divisors (29625959887464).

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

13445252217072 is a wasteful number, since it uses less digits than its factorization.

13445252217072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583038 (or 582986 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 13445252217072 in words is "thirteen trillion, four hundred forty-five billion, two hundred fifty-two million, two hundred seventeen thousand, seventy-two".