14820739488 has 144 divisors (see below), whose sum is σ = 42698257056. Its totient is φ = 4875932160.

The previous prime is 14820739487. The next prime is 14820739511. The reversal of 14820739488 is 88493702841.

It is a happy number.

14820739488 is a `hidden beast` number, since 1 + 48 + 207 + 394 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-5 number, since 5×14820739488⁵ (a number of 52 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (14820739487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10199370 + ... + 10200822.

It is an arithmetic number, because the mean of its divisors is an integer number (296515674).

Almost surely, 2^14820739488 is an apocalyptic number.

14820739488 is a gapful number since it is divisible by the number (18) 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 14820739488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21349128528).

14820739488 is an abundant number, since it is smaller than the sum of its proper divisors (27877517568).

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

14820739488 is a wasteful number, since it uses less digits than its factorization.

14820739488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 14820739488 in words is "fourteen billion, eight hundred twenty million, seven hundred thirty-nine thousand, four hundred eighty-eight".