13948026624 has 216 divisors, whose sum is σ = 46209133152. Its totient is φ = 3963617280.

The previous prime is 13948026607. The next prime is 13948026637. The reversal of 13948026624 is 42662084931.

13948026624 is a `hidden beast` number, since 13 + 9 + 4 + 8 + 0 + 2 + 6 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13948026624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3110464 + ... + 3114944.

It is an arithmetic number, because the mean of its divisors is an integer number (213931172).

Almost surely, 2^13948026624 is an apocalyptic number.

13948026624 is a gapful number since it is divisible by the number (14) 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 13948026624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23104566576).

13948026624 is an abundant number, since it is smaller than the sum of its proper divisors (32261106528).

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

13948026624 is a wasteful number, since it uses less digits than its factorization.

13948026624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 13948026624 in words is "thirteen billion, nine hundred forty-eight million, twenty-six thousand, six hundred twenty-four".