13948525824 has 144 divisors (see below), whose sum is σ = 37888499712. Its totient is φ = 4554676224.

The previous prime is 13948525817. The next prime is 13948525883. The reversal of 13948525824 is 42852584931.

13948525824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13948525824² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 8094627 + ... + 8096349.

Almost surely, 2^13948525824 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 13948525824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18944249856).

13948525824 is an abundant number, since it is smaller than the sum of its proper divisors (23939973888).

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

13948525824 is a wasteful number, since it uses less digits than its factorization.

13948525824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1938 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The spelling of 13948525824 in words is "thirteen billion, nine hundred forty-eight million, five hundred twenty-five thousand, eight hundred twenty-four".