13955271984 has 240 divisors, whose sum is σ = 42897254400. Its totient is φ = 4216043520.

The previous prime is 13955271973. The next prime is 13955271989. The reversal of 13955271984 is 48917255931.

It is a happy number.

13955271984 is a `hidden beast` number, since 1 + 3 + 9 + 552 + 7 + 1 + 9 + 84 = 666.

It is a super-2 number, since 2×13955271984² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13955271984.

It is not an unprimeable number, because it can be changed into a prime (13955271989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23297317 + ... + 23297915.

It is an arithmetic number, because the mean of its divisors is an integer number (178738560).

Almost surely, 2^13955271984 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 13955271984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21448627200).

13955271984 is an abundant number, since it is smaller than the sum of its proper divisors (28941982416).

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

13955271984 is a wasteful number, since it uses less digits than its factorization.

13955271984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 959 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 13955271984 in words is "thirteen billion, nine hundred fifty-five million, two hundred seventy-one thousand, nine hundred eighty-four".