38403648265664 has 168 divisors, whose sum is σ = 84819445052160. Its totient is φ = 17109442022400.

The previous prime is 38403648265649. The next prime is 38403648265669. The reversal of 38403648265664 is 46656284630483.

It is a happy number.

It is a super-2 number, since 2×38403648265664² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38403648265664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38403648265669) 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, 2054650559 + ... + 2054669249.

It is an arithmetic number, because the mean of its divisors is an integer number (504877649120).

Almost surely, 2^{38403648265664} 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 38403648265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42409722526080).

38403648265664 is an abundant number, since it is smaller than the sum of its proper divisors (46415796786496).

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

38403648265664 is a wasteful number, since it uses less digits than its factorization.

38403648265664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19859 (or 19796 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 65.

The spelling of 38403648265664 in words is "thirty-eight trillion, four hundred three billion, six hundred forty-eight million, two hundred sixty-five thousand, six hundred sixty-four".