13162384000 has 96 divisors (see below), whose sum is σ = 32761097460. Its totient is φ = 5259148800.

The previous prime is 13162383989. The next prime is 13162384003. The reversal of 13162384000 is 48326131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8897771584 + 4264612416 = 94328^2 + 65304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13162384000.

It is not an unprimeable number, because it can be changed into a prime (13162384003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14511547 + ... + 14512453.

Almost surely, 2^13162384000 is an apocalyptic number.

13162384000 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 13162384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380548730).

13162384000 is an abundant number, since it is smaller than the sum of its proper divisors (19598713460).

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

13162384000 is an frugal number, since it uses more digits than its factorization.

13162384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 13162384000 in words is "thirteen billion, one hundred sixty-two million, three hundred eighty-four thousand".