13248893952 has 440 divisors, whose sum is σ = 47635163840. Its totient is φ = 3583180800.

The previous prime is 13248893939. The next prime is 13248893969. The reversal of 13248893952 is 25939884231.

13248893952 is a `hidden beast` number, since 1 + 3 + 248 + 8 + 9 + 395 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11030952 + ... + 11032152.

It is an arithmetic number, because the mean of its divisors is an integer number (108261736).

Almost surely, 2^13248893952 is an apocalyptic number.

13248893952 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 13248893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23817581920).

13248893952 is an abundant number, since it is smaller than the sum of its proper divisors (34386269888).

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

13248893952 is a wasteful number, since it uses less digits than its factorization.

13248893952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1232 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 13248893952 in words is "thirteen billion, two hundred forty-eight million, eight hundred ninety-three thousand, nine hundred fifty-two".