13538463552 has 224 divisors, whose sum is σ = 41126054400. Its totient is φ = 4364845056.

The previous prime is 13538463541. The next prime is 13538463569. The reversal of 13538463552 is 25536483531.

13538463552 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 8 + 4 + 635 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13538463498 and 13538463507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7227288 + ... + 7229160.

Almost surely, 2^13538463552 is an apocalyptic number.

13538463552 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 13538463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563027200).

13538463552 is an abundant number, since it is smaller than the sum of its proper divisors (27587590848).

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

13538463552 is a wasteful number, since it uses less digits than its factorization.

13538463552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2014 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 13538463552 in words is "thirteen billion, five hundred thirty-eight million, four hundred sixty-three thousand, five hundred fifty-two".