13523989118976 has 480 divisors, whose sum is σ = 47785421537280. Its totient is φ = 3695977562112.

The previous prime is 13523989118929. The next prime is 13523989118977. The reversal of 13523989118976 is 67981198932531.

13523989118976 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 398 + 91 + 1 + 89 + 76 = 666.

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 (13523989118977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71126305 + ... + 71316191.

It is an arithmetic number, because the mean of its divisors is an integer number (99552961536).

Almost surely, 2^{13523989118976} is an apocalyptic number.

13523989118976 is a gapful number since it is divisible by the number (16) 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 13523989118976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23892710768640).

13523989118976 is an abundant number, since it is smaller than the sum of its proper divisors (34261432418304).

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

13523989118976 is an equidigital number, since it uses as much as digits as its factorization.

13523989118976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189954 (or 189922 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 72.

The spelling of 13523989118976 in words is "thirteen trillion, five hundred twenty-three billion, nine hundred eighty-nine million, one hundred eighteen thousand, nine hundred seventy-six".