38845126656 has 576 divisors, whose sum is σ = 134646220800. Its totient is φ = 10558439424.

The previous prime is 38845126651. The next prime is 38845126657. The reversal of 38845126656 is 65662154883.

38845126656 is a `hidden beast` number, since 3 + 88 + 451 + 2 + 66 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38845126651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377137101 + ... + 377137203.

It is an arithmetic number, because the mean of its divisors is an integer number (233760800).

Almost surely, 2^38845126656 is an apocalyptic number.

38845126656 is a gapful number since it is divisible by the number (36) 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 38845126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67323110400).

38845126656 is an abundant number, since it is smaller than the sum of its proper divisors (95801094144).

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

38845126656 is a wasteful number, since it uses less digits than its factorization.

38845126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 231 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 38845126656 in words is "thirty-eight billion, eight hundred forty-five million, one hundred twenty-six thousand, six hundred fifty-six".