13350114960 has 640 divisors, whose sum is σ = 55310459904. Its totient is φ = 2583429120.

The previous prime is 13350114893. The next prime is 13350114991. The reversal of 13350114960 is 6941105331.

13350114960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 15222042 + ... + 15222918.

Almost surely, 2^13350114960 is an apocalyptic number.

13350114960 is a gapful number since it is divisible by the number (10) 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 13350114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27655229952).

13350114960 is an abundant number, since it is smaller than the sum of its proper divisors (41960344944).

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

13350114960 is a wasteful number, since it uses less digits than its factorization.

13350114960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 13350114960 in words is "thirteen billion, three hundred fifty million, one hundred fourteen thousand, nine hundred sixty".