14610040384 has 63 divisors (see below), whose sum is σ = 30083731171. Its totient is φ = 7039585280.

The previous prime is 14610040349. The next prime is 14610040391. The reversal of 14610040384 is 48304001641.

The square root of 14610040384 is 120872.

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

It can be written as a sum of positive squares in 4 ways, for example, as 553566784 + 14056473600 = 23528^2 + 118560^2 .

It is a super-2 number, since 2×14610040384² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28042044 + ... + 28042564.

Almost surely, 2^14610040384 is an apocalyptic number.

14610040384 is the 120872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14610040384

14610040384 is an abundant number, since it is smaller than the sum of its proper divisors (15473690787).

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

14610040384 is an frugal number, since it uses more digits than its factorization.

14610040384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Multiplying 14610040384 by its product of nonzero digits (9216), we get a square (134646132178944 = 11603712²).

The spelling of 14610040384 in words is "fourteen billion, six hundred ten million, forty thousand, three hundred eighty-four".