34652594472768 has 84 divisors (see below), whose sum is σ = 99509002175908. Its totient is φ = 11529513768960.

The previous prime is 34652594472751. The next prime is 34652594472791. The reversal of 34652594472768 is 86727449525643.

34652594472768 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 2 + 5 + 94 + 472 + 7 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24346645429824 + 10305949042944 = 4934232^2 + 3210288^2 .

It is a super-2 number, since 2×34652594472768² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 34652594472696 and 34652594472705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55289821 + ... + 55913052.

Almost surely, 2^{34652594472768} is an apocalyptic number.

It is an amenable number.

34652594472768 is an abundant number, since it is smaller than the sum of its proper divisors (64856407703140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34652594472768 is a wasteful number, since it uses less digits than its factorization.

34652594472768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111203432 (or 111203419 counting only the distinct ones).

The product of its digits is 2438553600, while the sum is 72.

The spelling of 34652594472768 in words is "thirty-four trillion, six hundred fifty-two billion, five hundred ninety-four million, four hundred seventy-two thousand, seven hundred sixty-eight".