163463501952 has 512 divisors, whose sum is σ = 529081344000. Its totient is φ = 49492684800.

The previous prime is 163463501941. The next prime is 163463501953. The reversal of 163463501952 is 259105364361.

163463501952 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 635 + 0 + 1 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 163463501898 and 163463501907.

It is not an unprimeable number, because it can be changed into a prime (163463501953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266661198 + ... + 266661810.

It is an arithmetic number, because the mean of its divisors is an integer number (1033362000).

Almost surely, 2^163463501952 is an apocalyptic number.

163463501952 is a gapful number since it is divisible by the number (12) 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 163463501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264540672000).

163463501952 is an abundant number, since it is smaller than the sum of its proper divisors (365617842048).

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

163463501952 is a wasteful number, since it uses less digits than its factorization.

163463501952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 163463501952 in words is "one hundred sixty-three billion, four hundred sixty-three million, five hundred one thousand, nine hundred fifty-two".