163768061952 has 416 divisors, whose sum is σ = 534834293760. Its totient is φ = 49107271680.

The previous prime is 163768061927. The next prime is 163768061959. The reversal of 163768061952 is 259160867361.

163768061952 is a `hidden beast` number, since 1 + 6 + 376 + 80 + 6 + 195 + 2 = 666.

It is a super-2 number, since 2×163768061952² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163768061959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125300083 + ... + 125301389.

It is an arithmetic number, because the mean of its divisors is an integer number (1285659360).

Almost surely, 2^163768061952 is an apocalyptic number.

163768061952 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 163768061952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267417146880).

163768061952 is an abundant number, since it is smaller than the sum of its proper divisors (371066231808).

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

163768061952 is a wasteful number, since it uses less digits than its factorization.

163768061952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 163768061952 in words is "one hundred sixty-three billion, seven hundred sixty-eight million, sixty-one thousand, nine hundred fifty-two".