13950557984 has 48 divisors (see below), whose sum is σ = 30021243840. Its totient is φ = 6328623360.

The previous prime is 13950557947. The next prime is 13950558019. The reversal of 13950557984 is 48975505931.

It is a happy number.

13950557984 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 2×13950557984² (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 140237 + ... + 218099.

It is an arithmetic number, because the mean of its divisors is an integer number (625442580).

Almost surely, 2^13950557984 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 13950557984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010621920).

13950557984 is an abundant number, since it is smaller than the sum of its proper divisors (16070685856).

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

13950557984 is a wasteful number, since it uses less digits than its factorization.

13950557984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78393 (or 78385 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 56.

The spelling of 13950557984 in words is "thirteen billion, nine hundred fifty million, five hundred fifty-seven thousand, nine hundred eighty-four".