13887083492352 has 1584 divisors, whose sum is σ = 51143283225216. Its totient is φ = 3540359577600.

The previous prime is 13887083492341. The next prime is 13887083492371. The reversal of 13887083492352 is 25329438078831.

13887083492352 is a `hidden beast` number, since 1 + 38 + 8 + 7 + 0 + 83 + 492 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 13887083492352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167314258903 + ... + 167314258985.

Almost surely, 2^{13887083492352} is an apocalyptic number.

13887083492352 is a gapful number since it is divisible by the number (12) 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 13887083492352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25571641612608).

13887083492352 is an abundant number, since it is smaller than the sum of its proper divisors (37256199732864).

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

13887083492352 is a wasteful number, since it uses less digits than its factorization.

13887083492352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 13887083492352 in words is "thirteen trillion, eight hundred eighty-seven billion, eighty-three million, four hundred ninety-two thousand, three hundred fifty-two".