13465785924864 has 864 divisors, whose sum is σ = 49671232880640. Its totient is φ = 3523180437504.

The previous prime is 13465785924853. The next prime is 13465785924869. The reversal of 13465785924864 is 46842958756431.

13465785924864 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 57 + 8 + 5 + 92 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13465785924792 and 13465785924801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13465785924869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1038459309 + ... + 1038472275.

Almost surely, 2^{13465785924864} is an apocalyptic number.

13465785924864 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 13465785924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24835616440320).

13465785924864 is an abundant number, since it is smaller than the sum of its proper divisors (36205446955776).

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

13465785924864 is a wasteful number, since it uses less digits than its factorization.

13465785924864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13152 (or 13119 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 13465785924864 in words is "thirteen trillion, four hundred sixty-five billion, seven hundred eighty-five million, nine hundred twenty-four thousand, eight hundred sixty-four".