13905546000 has 160 divisors (see below), whose sum is σ = 46278276096. Its totient is φ = 3588480000.

The previous prime is 13905545993. The next prime is 13905546037. The reversal of 13905546000 is 64550931.

It is a happy number.

13905546000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 148620 + ... + 223380.

Almost surely, 2^13905546000 is an apocalyptic number.

13905546000 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 13905546000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23139138048).

13905546000 is an abundant number, since it is smaller than the sum of its proper divisors (32372730096).

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

13905546000 is a wasteful number, since it uses less digits than its factorization.

13905546000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74818 (or 74802 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 13905546000 in words is "thirteen billion, nine hundred five million, five hundred forty-six thousand".