434252006566616 has 64 divisors (see below), whose sum is σ = 979845503712000. Its totient is φ = 176253498875520.

The previous prime is 434252006566577. The next prime is 434252006566627. The reversal of 434252006566616 is 616665600252434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 15 ways as a sum of consecutive naturals, for example, 65524751 + ... + 71847038.

It is an arithmetic number, because the mean of its divisors is an integer number (15310085995500).

Almost surely, 2^{434252006566616} is an apocalyptic number.

It is an amenable number.

434252006566616 is an abundant number, since it is smaller than the sum of its proper divisors (545593497145384).

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

434252006566616 is a wasteful number, since it uses less digits than its factorization.

434252006566616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137374792 (or 137374788 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 56.

The spelling of 434252006566616 in words is "four hundred thirty-four trillion, two hundred fifty-two billion, six million, five hundred sixty-six thousand, six hundred sixteen".