13215938247936 has 432 divisors, whose sum is σ = 41019006782208. Its totient is φ = 4240843776000.

The previous prime is 13215938247839. The next prime is 13215938247971. The reversal of 13215938247936 is 63974283951231.

13215938247936 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 59 + 3 + 82 + 479 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×13215938247936² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178313286 + ... + 178387386.

Almost surely, 2^{13215938247936} is an apocalyptic number.

13215938247936 is a gapful number since it is divisible by the number (16) 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 13215938247936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20509503391104).

13215938247936 is an abundant number, since it is smaller than the sum of its proper divisors (27803068534272).

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

13215938247936 is an frugal number, since it uses more digits than its factorization.

13215938247936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74240 (or 74214 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 13215938247936 in words is "thirteen trillion, two hundred fifteen billion, nine hundred thirty-eight million, two hundred forty-seven thousand, nine hundred thirty-six".