13483362342912 has 1536 divisors, whose sum is σ = 49040845701120. Its totient is φ = 3190505472000.

The previous prime is 13483362342911. The next prime is 13483362342941. The reversal of 13483362342912 is 21924326338431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13483362342911) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23949133543 + ... + 23949134105.

It is an arithmetic number, because the mean of its divisors is an integer number (31927633920).

Almost surely, 2^{13483362342912} is an apocalyptic number.

13483362342912 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 13483362342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24520422850560).

13483362342912 is an abundant number, since it is smaller than the sum of its proper divisors (35557483358208).

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

13483362342912 is a wasteful number, since it uses less digits than its factorization.

13483362342912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 711 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 51.

The spelling of 13483362342912 in words is "thirteen trillion, four hundred eighty-three billion, three hundred sixty-two million, three hundred forty-two thousand, nine hundred twelve".