13875275232 has 288 divisors, whose sum is σ = 48724079040. Its totient is φ = 3647324160.

The previous prime is 13875275207. The next prime is 13875275257. The reversal of 13875275232 is 23257257831.

13875275232 is a `hidden beast` number, since 1 + 38 + 75 + 27 + 523 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13875275207) and next prime (13875275257).

It is a tau number, because it is divible by the number of its divisors (288).

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, 10194232 + ... + 10195592.

It is an arithmetic number, because the mean of its divisors is an integer number (169180830).

Almost surely, 2^13875275232 is an apocalyptic number.

13875275232 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 13875275232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24362039520).

13875275232 is an abundant number, since it is smaller than the sum of its proper divisors (34848803808).

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

13875275232 is a wasteful number, since it uses less digits than its factorization.

13875275232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1775 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 13875275232 in words is "thirteen billion, eight hundred seventy-five million, two hundred seventy-five thousand, two hundred thirty-two".