13461162624 has 384 divisors, whose sum is σ = 48355507200. Its totient is φ = 3499573248.

The previous prime is 13461162613. The next prime is 13461162661. The reversal of 13461162624 is 42626116431.

13461162624 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 1 + 1 + 626 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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

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, 7651857 + ... + 7653615.

It is an arithmetic number, because the mean of its divisors is an integer number (125925800).

Almost surely, 2^13461162624 is an apocalyptic number.

13461162624 is a gapful number since it is divisible by the number (14) 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 13461162624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24177753600).

13461162624 is an abundant number, since it is smaller than the sum of its proper divisors (34894344576).

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

13461162624 is a wasteful number, since it uses less digits than its factorization.

13461162624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1857 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 13461162624 in words is "thirteen billion, four hundred sixty-one million, one hundred sixty-two thousand, six hundred twenty-four".