168335142840 has 320 divisors, whose sum is σ = 598222548000. Its totient is φ = 42337520640.

The previous prime is 168335142839. The next prime is 168335142841. The reversal of 168335142840 is 48241533861.

168335142840 is a `hidden beast` number, since 1 + 68 + 33 + 514 + 2 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (168335142839) and next prime (168335142841).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168335142841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14091270 + ... + 14103210.

Almost surely, 2^168335142840 is an apocalyptic number.

168335142840 is a gapful number since it is divisible by the number (10) 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 168335142840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299111274000).

168335142840 is an abundant number, since it is smaller than the sum of its proper divisors (429887405160).

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

168335142840 is a wasteful number, since it uses less digits than its factorization.

168335142840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12212 (or 12199 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 168335142840 in words is "one hundred sixty-eight billion, three hundred thirty-five million, one hundred forty-two thousand, eight hundred forty".