8238966315840 has 336 divisors, whose sum is σ = 30751488383616. Its totient is φ = 2012570726400.

The previous prime is 8238966315773. The next prime is 8238966315859. The reversal of 8238966315840 is 485136698328.

It is a happy number.

8238966315840 is a `hidden beast` number, since 8 + 2 + 389 + 6 + 63 + 158 + 40 = 666.

It is a super-2 number, since 2×8238966315840² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4064725 + ... + 5744555.

It is an arithmetic number, because the mean of its divisors is an integer number (91522286856).

Almost surely, 2^{8238966315840} is an apocalyptic number.

8238966315840 is a gapful number since it is divisible by the number (80) 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 8238966315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375744191808).

8238966315840 is an abundant number, since it is smaller than the sum of its proper divisors (22512522067776).

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

8238966315840 is a wasteful number, since it uses less digits than its factorization.

8238966315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679998 (or 1679985 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 8238966315840 in words is "eight trillion, two hundred thirty-eight billion, nine hundred sixty-six million, three hundred fifteen thousand, eight hundred forty".