13887973152 has 96 divisors (see below), whose sum is σ = 40651450560. Its totient is φ = 4612769280.

The previous prime is 13887973139. The next prime is 13887973193. The reversal of 13887973152 is 25137978831.

It is a happy number.

13887973152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214183 + ... + 271385.

It is an arithmetic number, because the mean of its divisors is an integer number (423452610).

Almost surely, 2^13887973152 is an apocalyptic number.

13887973152 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 13887973152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20325725280).

13887973152 is an abundant number, since it is smaller than the sum of its proper divisors (26763477408).

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

13887973152 is a wasteful number, since it uses less digits than its factorization.

13887973152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57503 (or 57489 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 13887973152 in words is "thirteen billion, eight hundred eighty-seven million, nine hundred seventy-three thousand, one hundred fifty-two".