14738226048 has 768 divisors, whose sum is σ = 55888035840. Its totient is φ = 3762339840.

The previous prime is 14738226029. The next prime is 14738226067. The reversal of 14738226048 is 84062283741.

It is a happy number.

14738226048 is a `hidden beast` number, since 1 + 4 + 7 + 38 + 2 + 2 + 604 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (14738226029) and next prime (14738226067).

It is a junction number, because it is equal to n+sod(n) for n = 14738225994 and 14738226012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116048961 + ... + 116049087.

It is an arithmetic number, because the mean of its divisors is an integer number (72770880).

Almost surely, 2^14738226048 is an apocalyptic number.

14738226048 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 14738226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27944017920).

14738226048 is an abundant number, since it is smaller than the sum of its proper divisors (41149809792).

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

14738226048 is a wasteful number, since it uses less digits than its factorization.

14738226048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14738226048 in words is "fourteen billion, seven hundred thirty-eight million, two hundred twenty-six thousand, forty-eight".