34253945119969 has 27 divisors (see below), whose sum is σ = 35372865619089. Its totient is φ = 33169986518760.

The previous prime is 34253945119967. The next prime is 34253945119973. The reversal of 34253945119969 is 96991154935243.

The square root of 34253945119969 is 5852687.

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

It is not a de Polignac number, because 34253945119969 - 2¹ = 34253945119967 is a prime.

It is a super-2 number, since 2×34253945119969² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34253945119898 and 34253945119907.

It is not an unprimeable number, because it can be changed into a prime (34253945119967) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32968185352 + ... + 32968186390.

Almost surely, 2^{34253945119969} is an apocalyptic number.

34253945119969 is the 5852687-th square number.

34253945119969 is the 2926344-th centered octagonal number.

It is an amenable number.

34253945119969 is a deficient number, since it is larger than the sum of its proper divisors (1118920499120).

34253945119969 is an frugal number, since it uses more digits than its factorization.

34253945119969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 1213 counting only the distinct ones).

The product of its digits is 283435200, while the sum is 70.

The spelling of 34253945119969 in words is "thirty-four trillion, two hundred fifty-three billion, nine hundred forty-five million, one hundred nineteen thousand, nine hundred sixty-nine".