13485339648 has 528 divisors, whose sum is σ = 45738168000. Its totient is φ = 3917168640.

The previous prime is 13485339613. The next prime is 13485339683. The reversal of 13485339648 is 84693358431.

13485339648 is a `hidden beast` number, since 1 + 3 + 48 + 533 + 9 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13485339613) and next prime (13485339683).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13485339594 and 13485339603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97016763 + ... + 97016901.

Almost surely, 2^13485339648 is an apocalyptic number.

13485339648 is a gapful number since it is divisible by the number (18) 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 13485339648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22869084000).

13485339648 is an abundant number, since it is smaller than the sum of its proper divisors (32252828352).

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

13485339648 is a wasteful number, since it uses less digits than its factorization.

13485339648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 184 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 13485339648 in words is "thirteen billion, four hundred eighty-five million, three hundred thirty-nine thousand, six hundred forty-eight".