13341237776832 has 224 divisors, whose sum is σ = 42232482496512. Its totient is φ = 3634173582336.

The previous prime is 13341237776807. The next prime is 13341237776863. The reversal of 13341237776832 is 23867773214331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8787073 + ... + 10192895.

It is an arithmetic number, because the mean of its divisors is an integer number (188537868288).

Almost surely, 2^{13341237776832} is an apocalyptic number.

13341237776832 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 13341237776832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21116241248256).

13341237776832 is an abundant number, since it is smaller than the sum of its proper divisors (28891244719680).

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

13341237776832 is a wasteful number, since it uses less digits than its factorization.

13341237776832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406175 (or 1406165 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 57.

The spelling of 13341237776832 in words is "thirteen trillion, three hundred forty-one billion, two hundred thirty-seven million, seven hundred seventy-six thousand, eight hundred thirty-two".