13754606000 has 80 divisors (see below), whose sum is σ = 33498585120. Its totient is φ = 5462150400.

The previous prime is 13754605987. The next prime is 13754606051. The reversal of 13754606000 is 60645731.

13754606000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 253262 + ... + 302738.

It is an arithmetic number, because the mean of its divisors is an integer number (418732314).

Almost surely, 2^13754606000 is an apocalyptic number.

13754606000 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 13754606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16749292560).

13754606000 is an abundant number, since it is smaller than the sum of its proper divisors (19743979120).

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

13754606000 is a wasteful number, since it uses less digits than its factorization.

13754606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49639 (or 49623 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 13754606000 in words is "thirteen billion, seven hundred fifty-four million, six hundred six thousand".