163602149860224 has 896 divisors, whose sum is σ = 523012309646400. Its totient is φ = 50852286922752.

The previous prime is 163602149860217. The next prime is 163602149860231. The reversal of 163602149860224 is 422068941206361.

163602149860224 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 0 + 2 + 1 + 4 + 9 + 8 + 602 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (163602149860217) and next prime (163602149860231).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 13716951349 + ... + 13716963275.

Almost surely, 2^{163602149860224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163602149860224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261506154823200).

163602149860224 is an abundant number, since it is smaller than the sum of its proper divisors (359410159786176).

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

163602149860224 is a wasteful number, since it uses less digits than its factorization.

163602149860224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12162 (or 12135 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 163602149860224 in words is "one hundred sixty-three trillion, six hundred two billion, one hundred forty-nine million, eight hundred sixty thousand, two hundred twenty-four".