2235045610656 has 72 divisors (see below), whose sum is σ = 6383189734740. Its totient is φ = 741817691136.

The previous prime is 2235045610639. The next prime is 2235045610667. The reversal of 2235045610656 is 6560165405322.

2235045610656 is a `hidden beast` number, since 2 + 2 + 35 + 0 + 4 + 561 + 0 + 6 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2014412490000 + 220633120656 = 1419300^2 + 469716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16586491 + ... + 16720698.

Almost surely, 2^{2235045610656} is an apocalyptic number.

It is an amenable number.

2235045610656 is an abundant number, since it is smaller than the sum of its proper divisors (4148144124084).

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

2235045610656 is a wasteful number, since it uses less digits than its factorization.

2235045610656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33307438 (or 33307427 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 2235045610656 in words is "two trillion, two hundred thirty-five billion, forty-five million, six hundred ten thousand, six hundred fifty-six".