14610909216 has 96 divisors (see below), whose sum is σ = 40651849728. Its totient is φ = 4579061760.

The previous prime is 14610909179. The next prime is 14610909217. The reversal of 14610909216 is 61290901641.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (14610909217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1779681 + ... + 1787871.

It is an arithmetic number, because the mean of its divisors is an integer number (423456768).

Almost surely, 2^14610909216 is an apocalyptic number.

14610909216 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 14610909216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20325924864).

14610909216 is an abundant number, since it is smaller than the sum of its proper divisors (26040940512).

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

14610909216 is a wasteful number, since it uses less digits than its factorization.

14610909216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314 (or 9306 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 14610909216 in words is "fourteen billion, six hundred ten million, nine hundred nine thousand, two hundred sixteen".