13741812000 has 960 divisors, whose sum is σ = 59135940864. Its totient is φ = 3060633600.

The previous prime is 13741811983. The next prime is 13741812017. The reversal of 13741812000 is 21814731.

It is an interprime number because it is at equal distance from previous prime (13741811983) and next prime (13741812017).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 165563959 + ... + 165564041.

Almost surely, 2^13741812000 is an apocalyptic number.

13741812000 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 13741812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29567970432).

13741812000 is an abundant number, since it is smaller than the sum of its proper divisors (45394128864).

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

13741812000 is an equidigital number, since it uses as much as digits as its factorization.

13741812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 13741812000 in words is "thirteen billion, seven hundred forty-one million, eight hundred twelve thousand".