14983170048 has 1152 divisors, whose sum is σ = 61817333760. Its totient is φ = 3503554560.

The previous prime is 14983170029. The next prime is 14983170061. The reversal of 14983170048 is 84007138941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 14983169985 and 14983170012.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 651442165 + ... + 651442187.

It is an arithmetic number, because the mean of its divisors is an integer number (53660880).

Almost surely, 2^14983170048 is an apocalyptic number.

14983170048 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 14983170048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30908666880).

14983170048 is an abundant number, since it is smaller than the sum of its proper divisors (46834163712).

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

14983170048 is a wasteful number, since it uses less digits than its factorization.

14983170048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 14983170048 in words is "fourteen billion, nine hundred eighty-three million, one hundred seventy thousand, forty-eight".