13465682352 has 100 divisors (see below), whose sum is σ = 39012350520. Its totient is φ = 4484097792.

The previous prime is 13465682341. The next prime is 13465682353. The reversal of 13465682352 is 25328656431.

13465682352 is a `hidden beast` number, since 1 + 34 + 6 + 568 + 2 + 3 + 52 = 666.

It is a super-4 number, since 4×13465682352⁴ (a number of 42 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13465682298 and 13465682307.

It is not an unprimeable number, because it can be changed into a prime (13465682353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1458583 + ... + 1467785.

Almost surely, 2^13465682352 is an apocalyptic number.

13465682352 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 13465682352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19506175260).

13465682352 is an abundant number, since it is smaller than the sum of its proper divisors (25546668168).

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

13465682352 is a wasteful number, since it uses less digits than its factorization.

13465682352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10352 (or 10337 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 13465682352 in words is "thirteen billion, four hundred sixty-five million, six hundred eighty-two thousand, three hundred fifty-two".