38181958656 has 264 divisors, whose sum is σ = 111910636320. Its totient is φ = 11557797888.

The previous prime is 38181958651. The next prime is 38181958669. The reversal of 38181958656 is 65685918183.

It is a self number, because there is not a number n which added to its sum of digits gives 38181958656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38181958651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25745691 + ... + 25747173.

Almost surely, 2^38181958656 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 38181958656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55955318160).

38181958656 is an abundant number, since it is smaller than the sum of its proper divisors (73728677664).

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

38181958656 is a wasteful number, since it uses less digits than its factorization.

38181958656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1534 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 60.

The spelling of 38181958656 in words is "thirty-eight billion, one hundred eighty-one million, nine hundred fifty-eight thousand, six hundred fifty-six".