1992087174168 has 288 divisors, whose sum is σ = 6802768009440. Its totient is φ = 515471523840.

The previous prime is 1992087174157. The next prime is 1992087174227. The reversal of 1992087174168 is 8614717802991.

1992087174168 is a `hidden beast` number, since 1 + 9 + 9 + 208 + 7 + 1 + 7 + 416 + 8 = 666.

It is a super-2 number, since 2×1992087174168² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4293688 + ... + 4734968.

It is an arithmetic number, because the mean of its divisors is an integer number (23620722255).

Almost surely, 2^{1992087174168} is an apocalyptic number.

1992087174168 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 1992087174168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401384004720).

1992087174168 is an abundant number, since it is smaller than the sum of its proper divisors (4810680835272).

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

1992087174168 is a wasteful number, since it uses less digits than its factorization.

1992087174168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441379 (or 441359 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 1992087174168 in words is "one trillion, nine hundred ninety-two billion, eighty-seven million, one hundred seventy-four thousand, one hundred sixty-eight".