13438473120 has 576 divisors, whose sum is σ = 49929384960. Its totient is φ = 3282960384.

The previous prime is 13438473107. The next prime is 13438473127. The reversal of 13438473120 is 2137483431.

13438473120 is a `hidden beast` number, since 1 + 34 + 38 + 473 + 120 = 666.

13438473120 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 (36).

It is not an unprimeable number, because it can be changed into a prime (13438473127) by changing a digit.

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, 138540912 + ... + 138541008.

It is an arithmetic number, because the mean of its divisors is an integer number (86682960).

Almost surely, 2^13438473120 is an apocalyptic number.

13438473120 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 13438473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24964692480).

13438473120 is an abundant number, since it is smaller than the sum of its proper divisors (36490911840).

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

13438473120 is a wasteful number, since it uses less digits than its factorization.

13438473120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13438473120 in words is "thirteen billion, four hundred thirty-eight million, four hundred seventy-three thousand, one hundred twenty".