38543138256 has 240 divisors, whose sum is σ = 120782876544. Its totient is φ = 10373336064.

The previous prime is 38543138251. The next prime is 38543138261. The reversal of 38543138256 is 65283134583.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38543138251) and next prime (38543138261).

It is a super-2 number, since 2×38543138256² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38543138251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23894506 + ... + 23896118.

Almost surely, 2^38543138256 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 38543138256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60391438272).

38543138256 is an abundant number, since it is smaller than the sum of its proper divisors (82239738288).

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

38543138256 is a wasteful number, since it uses less digits than its factorization.

38543138256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1841 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 38543138256 in words is "thirty-eight billion, five hundred forty-three million, one hundred thirty-eight thousand, two hundred fifty-six".