14928565248 has 352 divisors, whose sum is σ = 46907414400. Its totient is φ = 4682022912.

The previous prime is 14928565231. The next prime is 14928565273. The reversal of 14928565248 is 84256582941.

14928565248 is a `hidden beast` number, since 1 + 49 + 28 + 56 + 524 + 8 = 666.

14928565248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×14928565248³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14928565194 and 14928565203.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 34476840 + ... + 34477272.

It is an arithmetic number, because the mean of its divisors is an integer number (133259700).

Almost surely, 2^14928565248 is an apocalyptic number.

14928565248 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 14928565248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23453707200).

14928565248 is an abundant number, since it is smaller than the sum of its proper divisors (31978849152).

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

14928565248 is a wasteful number, since it uses less digits than its factorization.

14928565248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 510 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 14928565248 in words is "fourteen billion, nine hundred twenty-eight million, five hundred sixty-five thousand, two hundred forty-eight".