163413742628864 has 936 divisors, whose sum is σ = 440107950078720. Its totient is φ = 59236985733120.

The previous prime is 163413742628863. The next prime is 163413742628993. The reversal of 163413742628864 is 468826247314361.

It is a self number, because there is not a number n which added to its sum of digits gives 163413742628864.

It is not an unprimeable number, because it can be changed into a prime (163413742628863) 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 71 ways as a sum of consecutive naturals, for example, 88475225189 + ... + 88475227035.

Almost surely, 2^{163413742628864} is an apocalyptic number.

163413742628864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163413742628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220053975039360).

163413742628864 is an abundant number, since it is smaller than the sum of its proper divisors (276694207449856).

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

163413742628864 is a wasteful number, since it uses less digits than its factorization.

163413742628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1919 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 65.

The spelling of 163413742628864 in words is "one hundred sixty-three trillion, four hundred thirteen billion, seven hundred forty-two million, six hundred twenty-eight thousand, eight hundred sixty-four".