14825741121 has 45 divisors (see below), whose sum is σ = 22555514289. Its totient is φ = 9704838744.

The previous prime is 14825741101. The next prime is 14825741149. The reversal of 14825741121 is 12114752841.

The square root of 14825741121 is 121761.

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

14825741121 is a `hidden beast` number, since 1 + 4 + 82 + 574 + 1 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 14825741121 - 2²⁷ = 14691523393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14825741101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 90955386 + ... + 90955548.

Almost surely, 2^14825741121 is an apocalyptic number.

14825741121 is the 121761-st square number.

14825741121 is the 60881-st centered octagonal number.

It is an amenable number.

14825741121 is a deficient number, since it is larger than the sum of its proper divisors (7729773168).

14825741121 is an frugal number, since it uses more digits than its factorization.

14825741121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 249 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

Multiplying 14825741121 by its sum of digits (36), we get a square (533726680356 = 730566²).

The spelling of 14825741121 in words is "fourteen billion, eight hundred twenty-five million, seven hundred forty-one thousand, one hundred twenty-one".