34414144451449 has 81 divisors (see below), whose sum is σ = 42456002214213. Its totient is φ = 27811882297584.

The previous prime is 34414144451441. The next prime is 34414144451461. The reversal of 34414144451449 is 94415444141443.

The square root of 34414144451449 is 5866357.

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

It is not a de Polignac number, because 34414144451449 - 2³ = 34414144451441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34414144451396 and 34414144451405.

It is not an unprimeable number, because it can be changed into a prime (34414144451441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 78392128372 + ... + 78392128810.

Almost surely, 2^{34414144451449} is an apocalyptic number.

34414144451449 is the 5866357-th square number.

34414144451449 is the 2933179-th centered octagonal number.

It is an amenable number.

34414144451449 is a deficient number, since it is larger than the sum of its proper divisors (8041857762764).

34414144451449 is an frugal number, since it uses more digits than its factorization.

34414144451449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 552 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 52.

The spelling of 34414144451449 in words is "thirty-four trillion, four hundred fourteen billion, one hundred forty-four million, four hundred fifty-one thousand, four hundred forty-nine".