14920948224 has 640 divisors, whose sum is σ = 56371392000. Its totient is φ = 3790209024.

The previous prime is 14920948199. The next prime is 14920948243. The reversal of 14920948224 is 42284902941.

14920948224 is a `hidden beast` number, since 149 + 2 + 0 + 9 + 482 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14920948224.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36481332 + ... + 36481740.

It is an arithmetic number, because the mean of its divisors is an integer number (88080300).

Almost surely, 2^14920948224 is an apocalyptic number.

14920948224 is a gapful number since it is divisible by the number (14) 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 14920948224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28185696000).

14920948224 is an abundant number, since it is smaller than the sum of its proper divisors (41450443776).

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

14920948224 is a wasteful number, since it uses less digits than its factorization.

14920948224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14920948224 in words is "fourteen billion, nine hundred twenty million, nine hundred forty-eight thousand, two hundred twenty-four".