14742889920 has 448 divisors, whose sum is σ = 57690593280. Its totient is φ = 3514060800.

The previous prime is 14742889919. The next prime is 14742889933. The reversal of 14742889920 is 2998824741.

14742889920 is a `hidden beast` number, since 1 + 474 + 2 + 8 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5796169 + ... + 5798711.

Almost surely, 2^14742889920 is an apocalyptic number.

14742889920 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 14742889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28845296640).

14742889920 is an abundant number, since it is smaller than the sum of its proper divisors (42947703360).

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

14742889920 is a wasteful number, since it uses less digits than its factorization.

14742889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2625 counting only the distinct ones).

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

The spelling of 14742889920 in words is "fourteen billion, seven hundred forty-two million, eight hundred eighty-nine thousand, nine hundred twenty".