8838420113952 has 576 divisors, whose sum is σ = 30667638718080. Its totient is φ = 2378402611200.

The previous prime is 8838420113851. The next prime is 8838420114023. The reversal of 8838420113952 is 2593110248388.

8838420113952 is a `hidden beast` number, since 8 + 8 + 38 + 420 + 1 + 139 + 52 = 666.

It is a super-2 number, since 2×8838420113952² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135586327 + ... + 135651497.

It is an arithmetic number, because the mean of its divisors is an integer number (53242428330).

Almost surely, 2^{8838420113952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8838420113952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15333819359040).

8838420113952 is an abundant number, since it is smaller than the sum of its proper divisors (21829218604128).

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

8838420113952 is a wasteful number, since it uses less digits than its factorization.

8838420113952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65337 (or 65326 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 8838420113952 in words is "eight trillion, eight hundred thirty-eight billion, four hundred twenty million, one hundred thirteen thousand, nine hundred fifty-two".