13962388128 has 96 divisors (see below), whose sum is σ = 39781840896. Its totient is φ = 4262243328.

The previous prime is 13962388093. The next prime is 13962388129. The reversal of 13962388128 is 82188326931.

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

It is not an unprimeable number, because it can be changed into a prime (13962388129) 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 15 ways as a sum of consecutive naturals, for example, 114450 + ... + 202542.

It is an arithmetic number, because the mean of its divisors is an integer number (414394176).

Almost surely, 2^13962388128 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 13962388128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19890920448).

13962388128 is an abundant number, since it is smaller than the sum of its proper divisors (25819452768).

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

13962388128 is a wasteful number, since it uses less digits than its factorization.

13962388128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88246 (or 88238 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The spelling of 13962388128 in words is "thirteen billion, nine hundred sixty-two million, three hundred eighty-eight thousand, one hundred twenty-eight".