13939489525248 has 320 divisors, whose sum is σ = 47220119147520. Its totient is φ = 3977330466816.

The previous prime is 13939489525243. The next prime is 13939489525249. The reversal of 13939489525248 is 84252598493931.

13939489525248 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 9 + 4 + 8 + 95 + 2 + 524 + 8 = 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 (13939489525243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71801686 + ... + 71995562.

It is an arithmetic number, because the mean of its divisors is an integer number (147562872336).

Almost surely, 2^{13939489525248} is an apocalyptic number.

13939489525248 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 13939489525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23610059573760).

13939489525248 is an abundant number, since it is smaller than the sum of its proper divisors (33280629622272).

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

13939489525248 is an equidigital number, since it uses as much as digits as its factorization.

13939489525248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194654 (or 194632 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 13939489525248 in words is "thirteen trillion, nine hundred thirty-nine billion, four hundred eighty-nine million, five hundred twenty-five thousand, two hundred forty-eight".