20459164216302 has 192 divisors, whose sum is σ = 53422497691200. Its totient is φ = 5786459078400.

The previous prime is 20459164216301. The next prime is 20459164216327. The reversal of 20459164216302 is 20361246195402.

20459164216302 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 9 + 1 + 6 + 4 + 2 + 1 + 630 + 2 = 666.

It is a super-2 number, since 2×20459164216302² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20459164216301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315204052 + ... + 315268952.

It is an arithmetic number, because the mean of its divisors is an integer number (278242175475).

Almost surely, 2^{20459164216302} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20459164216302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26711248845600).

20459164216302 is an abundant number, since it is smaller than the sum of its proper divisors (32963333474898).

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

20459164216302 is a wasteful number, since it uses less digits than its factorization.

20459164216302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66128 (or 66115 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20459164216302 in words is "twenty trillion, four hundred fifty-nine billion, one hundred sixty-four million, two hundred sixteen thousand, three hundred two".