459766538016 has 24 divisors (see below), whose sum is σ = 1206887162544. Its totient is φ = 153255512640.

The previous prime is 459766537991. The next prime is 459766538081. The reversal of 459766538016 is 610835667954.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×459766538016² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2394617290 + ... + 2394617481.

It is an arithmetic number, because the mean of its divisors is an integer number (50286965106).

Almost surely, 2^459766538016 is an apocalyptic number.

It is an amenable number.

459766538016 is an abundant number, since it is smaller than the sum of its proper divisors (747120624528).

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

459766538016 is a wasteful number, since it uses less digits than its factorization.

459766538016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789234784 (or 4789234776 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 459766538016 in words is "four hundred fifty-nine billion, seven hundred sixty-six million, five hundred thirty-eight thousand, sixteen".