13975852128 has 144 divisors (see below), whose sum is σ = 42733991664. Its totient is φ = 3987701760.

The previous prime is 13975852127. The next prime is 13975852129. The reversal of 13975852128 is 82125857931.

It is an interprime number because it is at equal distance from previous prime (13975852127) and next prime (13975852129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13975852127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4594288 + ... + 4597328.

It is an arithmetic number, because the mean of its divisors is an integer number (296763831).

Almost surely, 2^13975852128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13975852128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21366995832).

13975852128 is an abundant number, since it is smaller than the sum of its proper divisors (28758139536).

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

13975852128 is a wasteful number, since it uses less digits than its factorization.

13975852128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4030 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 51.

The spelling of 13975852128 in words is "thirteen billion, nine hundred seventy-five million, eight hundred fifty-two thousand, one hundred twenty-eight".