13485201408 has 576 divisors, whose sum is σ = 47698560000. Its totient is φ = 3804143616.

The previous prime is 13485201361. The next prime is 13485201419. The reversal of 13485201408 is 80410258431.

13485201408 is a `hidden beast` number, since 1 + 3 + 48 + 5 + 201 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 170698713 + ... + 170698791.

It is an arithmetic number, because the mean of its divisors is an integer number (82810000).

Almost surely, 2^13485201408 is an apocalyptic number.

13485201408 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 13485201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23849280000).

13485201408 is an abundant number, since it is smaller than the sum of its proper divisors (34213358592).

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

13485201408 is an frugal number, since it uses more digits than its factorization.

13485201408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 13485201408 its reverse (80410258431), we get a palindrome (93895459839).

The spelling of 13485201408 in words is "thirteen billion, four hundred eighty-five million, two hundred one thousand, four hundred eight".