13144576988088 has 768 divisors, whose sum is σ = 48553464960000. Its totient is φ = 3232763633664.

The previous prime is 13144576988083. The next prime is 13144576988099. The reversal of 13144576988088 is 88088967544131.

It is a happy number.

13144576988088 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 457 + 6 + 98 + 8 + 0 + 88 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144576988083) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 327783063 + ... + 327823161.

It is an arithmetic number, because the mean of its divisors is an integer number (63220657500).

Almost surely, 2^{13144576988088} is an apocalyptic number.

13144576988088 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 13144576988088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24276732480000).

13144576988088 is an abundant number, since it is smaller than the sum of its proper divisors (35408887971912).

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

13144576988088 is a wasteful number, since it uses less digits than its factorization.

13144576988088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40266 (or 40250 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 13144576988088 in words is "thirteen trillion, one hundred forty-four billion, five hundred seventy-six million, nine hundred eighty-eight thousand, eighty-eight".