13461623442 has 80 divisors (see below), whose sum is σ = 30383274240. Its totient is φ = 4454738208.

The previous prime is 13461623437. The next prime is 13461623447. The reversal of 13461623442 is 24432616431.

13461623442 is a `hidden beast` number, since 1 + 3 + 4 + 616 + 2 + 34 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13461623437) and next prime (13461623447).

It is a junction number, because it is equal to n+sod(n) for n = 13461623397 and 13461623406.

It is not an unprimeable number, because it can be changed into a prime (13461623447) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 21959928 + ... + 21960540.

It is an arithmetic number, because the mean of its divisors is an integer number (379790928).

Almost surely, 2^13461623442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13461623442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15191637120).

13461623442 is an abundant number, since it is smaller than the sum of its proper divisors (16921650798).

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

13461623442 is a wasteful number, since it uses less digits than its factorization.

13461623442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1380 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 13461623442 in words is "thirteen billion, four hundred sixty-one million, six hundred twenty-three thousand, four hundred forty-two".