34053528645 has 18 divisors (see below), whose sum is σ = 59028262098. Its totient is φ = 18161221728.

The previous prime is 34053528617. The next prime is 34053528647. The reversal of 34053528645 is 54682535043.

34053528645 is a `hidden beast` number, since 34 + 0 + 53 + 528 + 6 + 45 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1814248836 + 32239279809 = 42594^2 + 179553^2 .

It is not a de Polignac number, because 34053528645 - 2⁸ = 34053528389 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34053528645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34053528647) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1224151 + ... + 1251659.

Almost surely, 2^34053528645 is an apocalyptic number.

It is an amenable number.

34053528645 is a deficient number, since it is larger than the sum of its proper divisors (24974733453).

34053528645 is an frugal number, since it uses more digits than its factorization.

34053528645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55029 (or 27517 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Multiplying 34053528645 by its sum of digits (45), we get a square (1532408789025 = 1237905²).

34053528645 divided by its sum of digits (45) gives a square (756745081 = 27509²).

The spelling of 34053528645 in words is "thirty-four billion, fifty-three million, five hundred twenty-eight thousand, six hundred forty-five".