13388149152 has 192 divisors, whose sum is σ = 45179769600. Its totient is φ = 3825045504.

The previous prime is 13388149147. The next prime is 13388149157. The reversal of 13388149152 is 25194188331.

13388149152 is a `hidden beast` number, since 1 + 3 + 38 + 81 + 491 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (13388149147) and next prime (13388149157).

It is a junction number, because it is equal to n+sod(n) for n = 13388149098 and 13388149107.

It is not an unprimeable number, because it can be changed into a prime (13388149157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476224 + ... + 503552.

It is an arithmetic number, because the mean of its divisors is an integer number (235311300).

Almost surely, 2^13388149152 is an apocalyptic number.

13388149152 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 13388149152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22589884800).

13388149152 is an abundant number, since it is smaller than the sum of its proper divisors (31791620448).

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

13388149152 is an frugal number, since it uses more digits than its factorization.

13388149152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27367 (or 27341 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 13388149152 in words is "thirteen billion, three hundred eighty-eight million, one hundred forty-nine thousand, one hundred fifty-two".