14733618816 has 128 divisors (see below), whose sum is σ = 45293875200. Its totient is φ = 4156259328.

The previous prime is 14733618811. The next prime is 14733618821. The reversal of 14733618816 is 61881633741.

It is an interprime number because it is at equal distance from previous prime (14733618811) and next prime (14733618821).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14733618811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177661 + ... + 247043.

It is an arithmetic number, because the mean of its divisors is an integer number (353858400).

Almost surely, 2^14733618816 is an apocalyptic number.

14733618816 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 14733618816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22646937600).

14733618816 is an abundant number, since it is smaller than the sum of its proper divisors (30560256384).

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

14733618816 is an equidigital number, since it uses as much as digits as its factorization.

14733618816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69486 (or 69474 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 14733618816 in words is "fourteen billion, seven hundred thirty-three million, six hundred eighteen thousand, eight hundred sixteen".