1019632116168 has 192 divisors, whose sum is σ = 2847379392000. Its totient is φ = 329462816256.

The previous prime is 1019632116163. The next prime is 1019632116211. The reversal of 1019632116168 is 8616112369101.

1019632116168 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 6 + 3 + 21 + 1 + 616 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1019632116163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152659053 + ... + 152665731.

It is an arithmetic number, because the mean of its divisors is an integer number (14830101000).

Almost surely, 2^{1019632116168} is an apocalyptic number.

1019632116168 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 1019632116168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423689696000).

1019632116168 is an abundant number, since it is smaller than the sum of its proper divisors (1827747275832).

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

1019632116168 is a wasteful number, since it uses less digits than its factorization.

1019632116168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164 (or 7157 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1019632116168 in words is "one trillion, nineteen billion, six hundred thirty-two million, one hundred sixteen thousand, one hundred sixty-eight".