13955616000 has 432 divisors, whose sum is σ = 51334553088. Its totient is φ = 3638784000.

The previous prime is 13955615959. The next prime is 13955616049. The reversal of 13955616000 is 61655931.

13955616000 is a `hidden beast` number, since 1 + 3 + 95 + 561 + 6 + 0 + 0 + 0 = 666.

13955616000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 13535485 + ... + 13536515.

It is an arithmetic number, because the mean of its divisors is an integer number (118829984).

Almost surely, 2^13955616000 is an apocalyptic number.

13955616000 is a gapful number since it is divisible by the number (10) 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 13955616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25667276544).

13955616000 is an abundant number, since it is smaller than the sum of its proper divisors (37378937088).

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

13955616000 is a wasteful number, since it uses less digits than its factorization.

13955616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 13955616000 in words is "thirteen billion, nine hundred fifty-five million, six hundred sixteen thousand".