14730191424 has 189 divisors, whose sum is σ = 45836899563. Its totient is φ = 4520715264.

The previous prime is 14730191321. The next prime is 14730191429. The reversal of 14730191424 is 42419103741.

The square root of 14730191424 is 121368.

It is a perfect power (a square), and thus also a powerful number.

14730191424 is a `hidden beast` number, since 1 + 47 + 3 + 0 + 191 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5661057600 + 9069133824 = 75240^2 + 95232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14730191429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37866622 + ... + 37867010.

Almost surely, 2^14730191424 is an apocalyptic number.

14730191424 is the 121368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14730191424

14730191424 is an abundant number, since it is smaller than the sum of its proper divisors (31106708139).

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

14730191424 is an equidigital number, since it uses as much as digits as its factorization.

14730191424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 14730191424 by its sum of digits (36), we get a square (530286891264 = 728208²).

14730191424 divided by its sum of digits (36) gives a square (409171984 = 20228²).

The spelling of 14730191424 in words is "fourteen billion, seven hundred thirty million, one hundred ninety-one thousand, four hundred twenty-four".