13489493649408 has 384 divisors, whose sum is σ = 45683269632000. Its totient is φ = 3852815155200.

The previous prime is 13489493649403. The next prime is 13489493649409. The reversal of 13489493649408 is 80494639498431.

It is a happy number.

13489493649408 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 94 + 93 + 6 + 49 + 408 = 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 (72).

It is not an unprimeable number, because it can be changed into a prime (13489493649403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1916389953 + ... + 1916396991.

It is an arithmetic number, because the mean of its divisors is an integer number (118966848000).

Almost surely, 2^{13489493649408} is an apocalyptic number.

13489493649408 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 13489493649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22841634816000).

13489493649408 is an abundant number, since it is smaller than the sum of its proper divisors (32193775982592).

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

13489493649408 is an equidigital number, since it uses as much as digits as its factorization.

13489493649408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12028 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 13489493649408 in words is "thirteen trillion, four hundred eighty-nine billion, four hundred ninety-three million, six hundred forty-nine thousand, four hundred eight".