38533489320144 has 320 divisors, whose sum is σ = 125651802214400. Its totient is φ = 9903704702976.

The previous prime is 38533489320133. The next prime is 38533489320173. The reversal of 38533489320144 is 44102398433583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82221072 + ... + 82688400.

It is an arithmetic number, because the mean of its divisors is an integer number (392661881920).

Almost surely, 2^{38533489320144} 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 38533489320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62825901107200).

38533489320144 is an abundant number, since it is smaller than the sum of its proper divisors (87118312894256).

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

38533489320144 is a wasteful number, since it uses less digits than its factorization.

38533489320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467842 (or 467836 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 57.

The spelling of 38533489320144 in words is "thirty-eight trillion, five hundred thirty-three billion, four hundred eighty-nine million, three hundred twenty thousand, one hundred forty-four".