13242341376 has 576 divisors, whose sum is σ = 45075139200. Its totient is φ = 3848601600.

The previous prime is 13242341353. The next prime is 13242341381. The reversal of 13242341376 is 67314324231.

13242341376 is a `hidden beast` number, since 1 + 3 + 242 + 3 + 41 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13242341376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224446435 + ... + 224446493.

It is an arithmetic number, because the mean of its divisors is an integer number (78255450).

Almost surely, 2^13242341376 is an apocalyptic number.

13242341376 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 13242341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537569600).

13242341376 is an abundant number, since it is smaller than the sum of its proper divisors (31832797824).

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

13242341376 is an equidigital number, since it uses as much as digits as its factorization.

13242341376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 116 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The spelling of 13242341376 in words is "thirteen billion, two hundred forty-two million, three hundred forty-one thousand, three hundred seventy-six".