34131454009 has 9 divisors (see below), whose sum is σ = 34319258383. Its totient is φ = 33944674792.

The previous prime is 34131453997. The next prime is 34131454069. The reversal of 34131454009 is 90045413143.

The square root of 34131454009 is 184747.

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

It can be written as a sum of positive squares in only one way, i.e., 2172026025 + 31959427984 = 46605^2 + 178772^2 .

It is not a de Polignac number, because 34131454009 - 2⁵ = 34131453977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34131454069) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44154147 + ... + 44154919.

Almost surely, 2^34131454009 is an apocalyptic number.

34131454009 is the 184747-th square number.

34131454009 is the 92374-th centered octagonal number.

It is an amenable number.

34131454009 is a deficient number, since it is larger than the sum of its proper divisors (187804374).

34131454009 is an frugal number, since it uses more digits than its factorization.

34131454009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 34131454009 in words is "thirty-four billion, one hundred thirty-one million, four hundred fifty-four thousand, nine".