13522419456 has 432 divisors, whose sum is σ = 45645038208. Its totient is φ = 3522355200.

The previous prime is 13522419401. The next prime is 13522419467. The reversal of 13522419456 is 65491422531.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64087191 + ... + 64087401.

Almost surely, 2^13522419456 is an apocalyptic number.

13522419456 is a gapful number since it is divisible by the number (16) 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 13522419456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22822519104).

13522419456 is an abundant number, since it is smaller than the sum of its proper divisors (32122618752).

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

13522419456 is a wasteful number, since it uses less digits than its factorization.

13522419456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 367 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 13522419456 in words is "thirteen billion, five hundred twenty-two million, four hundred nineteen thousand, four hundred fifty-six".