38531449585664 has 512 divisors, whose sum is σ = 93542960332800. Its totient is φ = 15516075294720.

The previous prime is 38531449585663. The next prime is 38531449585679. The reversal of 38531449585664 is 46658594413583.

It is a tau number, because it is divible by the number of its divisors (512).

Its product of digits (1492992000) is a multiple of the sum of its prime divisors (729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38531449585663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87770955557 + ... + 87770955995.

It is an arithmetic number, because the mean of its divisors is an integer number (182701094400).

Almost surely, 2^{38531449585664} 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 38531449585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46771480166400).

38531449585664 is an abundant number, since it is smaller than the sum of its proper divisors (55011510747136).

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

38531449585664 is a wasteful number, since it uses less digits than its factorization.

38531449585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 729 counting only the distinct ones).

The product of its digits is 1492992000, while the sum is 71.

The spelling of 38531449585664 in words is "thirty-eight trillion, five hundred thirty-one billion, four hundred forty-nine million, five hundred eighty-five thousand, six hundred sixty-four".