34323505553025 has 144 divisors (see below), whose sum is σ = 68117230686960. Its totient is φ = 16413583564800.

The previous prime is 34323505553011. The next prime is 34323505553033. The reversal of 34323505553025 is 52035550532343.

34323505553025 is a `hidden beast` number, since 3 + 4 + 3 + 23 + 50 + 5 + 553 + 0 + 25 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 23413220915841 + 10910284637184 = 4838721^2 + 3303072^2 .

It is not a de Polignac number, because 34323505553025 - 2⁴ = 34323505553009 is a prime.

It is a super-2 number, since 2×34323505553025² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26837917 + ... + 28087733.

It is an arithmetic number, because the mean of its divisors is an integer number (473036324215).

Almost surely, 2^{34323505553025} is an apocalyptic number.

It is an amenable number.

34323505553025 is a deficient number, since it is larger than the sum of its proper divisors (33793725133935).

34323505553025 is a wasteful number, since it uses less digits than its factorization.

34323505553025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250116 (or 1250108 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 45.

The spelling of 34323505553025 in words is "thirty-four trillion, three hundred twenty-three billion, five hundred five million, five hundred fifty-three thousand, twenty-five".