168852393037440 has 1024 divisors, whose sum is σ = 703390553395200. Its totient is φ = 37479175372800.

The previous prime is 168852393037439. The next prime is 168852393037463. The reversal of 168852393037440 is 44730393258861.

It is a happy number.

168852393037440 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 523 + 9 + 30 + 3 + 74 + 4 + 0 = 666.

It is a super-2 number, since 2×168852393037440² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 899727615 + ... + 899915265.

It is an arithmetic number, because the mean of its divisors is an integer number (686904837300).

It is a 1-persistent number, because it is pandigital, but 2⋅168852393037440 = 337704786074880 is not.

Almost surely, 2^{168852393037440} is an apocalyptic number.

168852393037440 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 168852393037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351695276697600).

168852393037440 is an abundant number, since it is smaller than the sum of its proper divisors (534538160357760).

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

168852393037440 is a wasteful number, since it uses less digits than its factorization.

168852393037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187902 (or 187884 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 168852393037440 in words is "one hundred sixty-eight trillion, eight hundred fifty-two billion, three hundred ninety-three million, thirty-seven thousand, four hundred forty".