168997458240 has 896 divisors, whose sum is σ = 670291776000. Its totient is φ = 40034082816.

The previous prime is 168997458229. The next prime is 168997458251. The reversal of 168997458240 is 42854799861.

168997458240 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 9 + 7 + 4 + 582 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (168997458229) and next prime (168997458251).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 550480167 + ... + 550480473.

It is an arithmetic number, because the mean of its divisors is an integer number (748093500).

Almost surely, 2^168997458240 is an apocalyptic number.

168997458240 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 168997458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335145888000).

168997458240 is an abundant number, since it is smaller than the sum of its proper divisors (501294317760).

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

168997458240 is a wasteful number, since it uses less digits than its factorization.

168997458240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 168997458240 in words is "one hundred sixty-eight billion, nine hundred ninety-seven million, four hundred fifty-eight thousand, two hundred forty".