1032199167168 has 448 divisors, whose sum is σ = 3386122199040. Its totient is φ = 306187776000.

The previous prime is 1032199167149. The next prime is 1032199167227. The reversal of 1032199167168 is 8617619912301.

1032199167168 is a `hidden beast` number, since 10 + 321 + 9 + 91 + 67 + 168 = 666.

1032199167168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192895693 + ... + 192901043.

It is an arithmetic number, because the mean of its divisors is an integer number (7558308480).

Almost surely, 2^{1032199167168} is an apocalyptic number.

1032199167168 is a gapful number since it is divisible by the number (18) 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 1032199167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693061099520).

1032199167168 is an abundant number, since it is smaller than the sum of its proper divisors (2353923031872).

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

1032199167168 is a wasteful number, since it uses less digits than its factorization.

1032199167168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5693 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 1032199167168 in words is "one trillion, thirty-two billion, one hundred ninety-nine million, one hundred sixty-seven thousand, one hundred sixty-eight".