13738482000 has 720 divisors, whose sum is σ = 54041332800. Its totient is φ = 3243110400.

The previous prime is 13738481989. The next prime is 13738482001. The reversal of 13738482000 is 28483731.

13738482000 is a `hidden beast` number, since 1 + 373 + 84 + 8 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13738482001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98837931 + ... + 98838069.

Almost surely, 2^13738482000 is an apocalyptic number.

13738482000 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 13738482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27020666400).

13738482000 is an abundant number, since it is smaller than the sum of its proper divisors (40302850800).

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

13738482000 is a wasteful number, since it uses less digits than its factorization.

13738482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13738482000 in words is "thirteen billion, seven hundred thirty-eight million, four hundred eighty-two thousand".