13483301987232 has 1152 divisors, whose sum is σ = 50866834636800. Its totient is φ = 3284354304000.

The previous prime is 13483301987231. The next prime is 13483301987237. The reversal of 13483301987232 is 23278910338431.

It is a happy number.

13483301987232 is a `hidden beast` number, since 1 + 3 + 483 + 3 + 0 + 1 + 98 + 72 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (13483301987231) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7206467257 + ... + 7206469127.

It is an arithmetic number, because the mean of its divisors is an integer number (44155238400).

Almost surely, 2^{13483301987232} is an apocalyptic number.

13483301987232 is a gapful number since it is divisible by the number (12) 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 13483301987232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25433417318400).

13483301987232 is an abundant number, since it is smaller than the sum of its proper divisors (37383532649568).

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

13483301987232 is a wasteful number, since it uses less digits than its factorization.

13483301987232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13483301987232 in words is "thirteen trillion, four hundred eighty-three billion, three hundred one million, nine hundred eighty-seven thousand, two hundred thirty-two".