13144967601408 has 576 divisors, whose sum is σ = 41610868992000. Its totient is φ = 4083076546560.

The previous prime is 13144967601397. The next prime is 13144967601533. The reversal of 13144967601408 is 80410676944131.

It is a happy number.

13144967601408 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 496 + 7 + 6 + 0 + 140 + 8 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7736884143 + ... + 7736885841.

It is an arithmetic number, because the mean of its divisors is an integer number (72241092000).

Almost surely, 2^{13144967601408} is an apocalyptic number.

13144967601408 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 13144967601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20805434496000).

13144967601408 is an abundant number, since it is smaller than the sum of its proper divisors (28465901390592).

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

13144967601408 is a wasteful number, since it uses less digits than its factorization.

13144967601408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13144967601408 in words is "thirteen trillion, one hundred forty-four billion, nine hundred sixty-seven million, six hundred one thousand, four hundred eight".