168986464920 has 1024 divisors, whose sum is σ = 723147264000. Its totient is φ = 34139750400.

The previous prime is 168986464919. The next prime is 168986464921. The reversal of 168986464920 is 29464689861.

168986464920 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 86 + 464 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (168986464919) and next prime (168986464921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168986464921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 601375180 + ... + 601375460.

It is an arithmetic number, because the mean of its divisors is an integer number (706198500).

Almost surely, 2^168986464920 is an apocalyptic number.

168986464920 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 168986464920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361573632000).

168986464920 is an abundant number, since it is smaller than the sum of its proper divisors (554160799080).

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

168986464920 is a wasteful number, since it uses less digits than its factorization.

168986464920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 168986464920 in words is "one hundred sixty-eight billion, nine hundred eighty-six million, four hundred sixty-four thousand, nine hundred twenty".