35542241337006 has 56 divisors (see below), whose sum is σ = 80206288381800. Its totient is φ = 11806978777776.

The previous prime is 35542241336939. The next prime is 35542241337011. The reversal of 35542241337006 is 60073314224553.

It is a happy number.

35542241337006 is a `hidden beast` number, since 3 + 5 + 54 + 224 + 1 + 3 + 370 + 0 + 6 = 666.

35542241337006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 41172456 + ... + 42026843.

It is an arithmetic number, because the mean of its divisors is an integer number (1432255149675).

Almost surely, 2^{35542241337006} is an apocalyptic number.

35542241337006 is an abundant number, since it is smaller than the sum of its proper divisors (44664047044794).

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

35542241337006 is an equidigital number, since it uses as much as digits as its factorization.

35542241337006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83199612 (or 83199597 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 35542241337006 in words is "thirty-five trillion, five hundred forty-two billion, two hundred forty-one million, three hundred thirty-seven thousand, six".