13758549952 has 224 divisors, whose sum is σ = 35393863680. Its totient is φ = 5168655360.

The previous prime is 13758549913. The next prime is 13758549977. The reversal of 13758549952 is 25994585731.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6067923 + ... + 6070189.

It is an arithmetic number, because the mean of its divisors is an integer number (158008320).

Almost surely, 2^13758549952 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 13758549952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696931840).

13758549952 is an abundant number, since it is smaller than the sum of its proper divisors (21635313728).

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

13758549952 is a wasteful number, since it uses less digits than its factorization.

13758549952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2349 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 58.

The spelling of 13758549952 in words is "thirteen billion, seven hundred fifty-eight million, five hundred forty-nine thousand, nine hundred fifty-two".