332014506849 has 21 divisors (see below), whose sum is σ = 497817367939. Its totient is φ = 221332632840.

The previous prime is 332014506781. The next prime is 332014506877. The reversal of 332014506849 is 948605410233.

The square root of 332014506849 is 576207.

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

332014506849 is a `hidden beast` number, since 33 + 20 + 14 + 506 + 84 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 330460570449 + 1553936400 = 574857^2 + 39420^2 .

It is not a de Polignac number, because 332014506849 - 2¹⁵ = 332014474081 is a prime.

It is a super-2 number, since 2×332014506849² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332014506899) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 15546919 + ... + 15568259.

Almost surely, 2^332014506849 is an apocalyptic number.

332014506849 is the 576207-th square number.

332014506849 is the 288104-th centered octagonal number.

It is an amenable number.

332014506849 is a deficient number, since it is larger than the sum of its proper divisors (165802861090).

332014506849 is an frugal number, since it uses more digits than its factorization.

332014506849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42700 (or 21344 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 332014506849 in words is "three hundred thirty-two billion, fourteen million, five hundred six thousand, eight hundred forty-nine".