14435541904 has 75 divisors (see below), whose sum is σ = 32681712273. Its totient is φ = 6176568384.

The previous prime is 14435541881. The next prime is 14435541907. The reversal of 14435541904 is 40914553441.

The square root of 14435541904 is 120148.

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

14435541904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 47059600 + 14388482304 = 6860^2 + 119952^2 .

It is not an unprimeable number, because it can be changed into a prime (14435541907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23548702 + ... + 23549314.

Almost surely, 2^14435541904 is an apocalyptic number.

14435541904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14435541904 is the 120148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14435541904

14435541904 is an abundant number, since it is smaller than the sum of its proper divisors (18246170369).

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

14435541904 is an frugal number, since it uses more digits than its factorization.

14435541904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 14435541904 in words is "fourteen billion, four hundred thirty-five million, five hundred forty-one thousand, nine hundred four".