13880023149216 has 192 divisors, whose sum is σ = 43083703111680. Its totient is φ = 3828281318400.

The previous prime is 13880023149203. The next prime is 13880023149217. The reversal of 13880023149216 is 61294132008831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13880023149217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113105491 + ... + 113228141.

It is an arithmetic number, because the mean of its divisors is an integer number (224394287040).

Almost surely, 2^{13880023149216} is an apocalyptic number.

13880023149216 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 13880023149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21541851555840).

13880023149216 is an abundant number, since it is smaller than the sum of its proper divisors (29203679962464).

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

13880023149216 is a wasteful number, since it uses less digits than its factorization.

13880023149216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128507 (or 128499 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 13880023149216 in words is "thirteen trillion, eight hundred eighty billion, twenty-three million, one hundred forty-nine thousand, two hundred sixteen".