14748289920 has 1024 divisors, whose sum is σ = 65637734400. Its totient is φ = 3047030784.

The previous prime is 14748289901. The next prime is 14748289921. The reversal of 14748289920 is 2998284741.

14748289920 is a `hidden beast` number, since 1 + 474 + 8 + 2 + 89 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14748289921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130515784 + ... + 130515896.

It is an arithmetic number, because the mean of its divisors is an integer number (64099350).

Almost surely, 2^14748289920 is an apocalyptic number.

14748289920 is a gapful number since it is divisible by the number (10) 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 14748289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32818867200).

14748289920 is an abundant number, since it is smaller than the sum of its proper divisors (50889444480).

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

14748289920 is a wasteful number, since it uses less digits than its factorization.

14748289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 14748289920 in words is "fourteen billion, seven hundred forty-eight million, two hundred eighty-nine thousand, nine hundred twenty".