13487888848896 has 2304 divisors, whose sum is σ = 55212917760000. Its totient is φ = 3169840988160.

The previous prime is 13487888848859. The next prime is 13487888848943. The reversal of 13487888848896 is 69884888878431.

It is a happy number.

13487888848896 is a `hidden beast` number, since 1 + 3 + 48 + 7 + 8 + 8 + 88 + 488 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20467205815 + ... + 20467206473.

It is an arithmetic number, because the mean of its divisors is an integer number (23963940000).

Almost surely, 2^{13487888848896} is an apocalyptic number.

13487888848896 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 13487888848896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27606458880000).

13487888848896 is an abundant number, since it is smaller than the sum of its proper divisors (41725028911104).

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

13487888848896 is a wasteful number, since it uses less digits than its factorization.

13487888848896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 724 counting only the distinct ones).

The product of its digits is 38050725888, while the sum is 90.

The spelling of 13487888848896 in words is "thirteen trillion, four hundred eighty-seven billion, eight hundred eighty-eight million, eight hundred forty-eight thousand, eight hundred ninety-six".