14875746048 has 216 divisors, whose sum is σ = 43873135488. Its totient is φ = 4846381056.

The previous prime is 14875746047. The next prime is 14875746071. The reversal of 14875746048 is 84064757841.

14875746048 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 574 + 60 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14875745985 and 14875746003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14875746043) 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, 20461461 + ... + 20462187.

It is an arithmetic number, because the mean of its divisors is an integer number (203116368).

Almost surely, 2^14875746048 is an apocalyptic number.

14875746048 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 14875746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936567744).

14875746048 is an abundant number, since it is smaller than the sum of its proper divisors (28997389440).

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

14875746048 is a wasteful number, since it uses less digits than its factorization.

14875746048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 14875746048 in words is "fourteen billion, eight hundred seventy-five million, seven hundred forty-six thousand, forty-eight".