238825026595008 has 1008 divisors, whose sum is σ = 837241689682944. Its totient is φ = 64820342845440.

The previous prime is 238825026594929. The next prime is 238825026595073. The reversal of 238825026595008 is 800595620528832.

238825026595008 is a `hidden beast` number, since 2 + 3 + 8 + 8 + 2 + 50 + 26 + 59 + 500 + 8 = 666.

238825026595008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 11401384791 + ... + 11401405737.

It is an arithmetic number, because the mean of its divisors is an integer number (830596914368).

Almost surely, 2^{238825026595008} is an apocalyptic number.

238825026595008 is a gapful number since it is divisible by the number (28) 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 238825026595008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418620844841472).

238825026595008 is an abundant number, since it is smaller than the sum of its proper divisors (598416663087936).

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

238825026595008 is a wasteful number, since it uses less digits than its factorization.

238825026595008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21250 (or 21230 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 238825026595008 in words is "two hundred thirty-eight trillion, eight hundred twenty-five billion, twenty-six million, five hundred ninety-five thousand, eight".