13148384956416 has 832 divisors, whose sum is σ = 42776678400000. Its totient is φ = 3975037452288.

The previous prime is 13148384956393. The next prime is 13148384956453. The reversal of 13148384956416 is 61465948384131.

13148384956416 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 83 + 8 + 495 + 64 + 1 + 6 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7738895535 + ... + 7738897233.

Almost surely, 2^{13148384956416} is an apocalyptic number.

13148384956416 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 13148384956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21388339200000).

13148384956416 is an abundant number, since it is smaller than the sum of its proper divisors (29628293443584).

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

13148384956416 is a wasteful number, since it uses less digits than its factorization.

13148384956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1879 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 13148384956416 in words is "thirteen trillion, one hundred forty-eight billion, three hundred eighty-four million, nine hundred fifty-six thousand, four hundred sixteen".