16434164614752 has 36 divisors (see below), whose sum is σ = 46734655624020. Its totient is φ = 5478054871488.

The previous prime is 16434164614717. The next prime is 16434164614753. The reversal of 16434164614752 is 25741646143461.

It is a happy number.

16434164614752 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 16 + 4 + 614 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434164614753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28531535502 + ... + 28531536077.

It is an arithmetic number, because the mean of its divisors is an integer number (1298184878445).

Almost surely, 2^{16434164614752} is an apocalyptic number.

16434164614752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16434164614752 is an abundant number, since it is smaller than the sum of its proper divisors (30300491009268).

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

16434164614752 is a wasteful number, since it uses less digits than its factorization.

16434164614752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57063071595 (or 57063071584 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 16434164614752 in words is "sixteen trillion, four hundred thirty-four billion, one hundred sixty-four million, six hundred fourteen thousand, seven hundred fifty-two".