13724384490 has 192 divisors, whose sum is σ = 37107383040. Its totient is φ = 3517839360.

The previous prime is 13724384489. The next prime is 13724384501. The reversal of 13724384490 is 9448342731.

13724384490 is a `hidden beast` number, since 13 + 72 + 4 + 3 + 84 + 490 = 666.

13724384490 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 (45).

It is a Curzon 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 95 ways as a sum of consecutive naturals, for example, 59931696 + ... + 59931924.

It is an arithmetic number, because the mean of its divisors is an integer number (193267620).

Almost surely, 2^13724384490 is an apocalyptic number.

13724384490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13724384490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18553691520).

13724384490 is an abundant number, since it is smaller than the sum of its proper divisors (23382998550).

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

13724384490 is a wasteful number, since it uses less digits than its factorization.

13724384490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13724384490 in words is "thirteen billion, seven hundred twenty-four million, three hundred eighty-four thousand, four hundred ninety".