13988416512 has 528 divisors, whose sum is σ = 46970298240. Its totient is φ = 3678732288.

The previous prime is 13988416499. The next prime is 13988416513. The reversal of 13988416512 is 21561488931.

It is a happy number.

It is a super-2 number, since 2×13988416512² (a number of 21 digits) contains 22 as substring.

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 (13988416513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191622108 + ... + 191622180.

Almost surely, 2^13988416512 is an apocalyptic number.

13988416512 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 13988416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23485149120).

13988416512 is an abundant number, since it is smaller than the sum of its proper divisors (32981881728).

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

13988416512 is a wasteful number, since it uses less digits than its factorization.

13988416512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The spelling of 13988416512 in words is "thirteen billion, nine hundred eighty-eight million, four hundred sixteen thousand, five hundred twelve".