38365145841408 has 144 divisors (see below), whose sum is σ = 102734713670400. Its totient is φ = 12709817909248.

The previous prime is 38365145841377. The next prime is 38365145841419. The reversal of 38365145841408 is 80414854156383.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981010591 + ... + 981049697.

It is an arithmetic number, because the mean of its divisors is an integer number (713435511600).

Almost surely, 2^{38365145841408} 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 38365145841408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51367356835200).

38365145841408 is an abundant number, since it is smaller than the sum of its proper divisors (64369567828992).

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

38365145841408 is a wasteful number, since it uses less digits than its factorization.

38365145841408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46942 (or 46928 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 60.

The spelling of 38365145841408 in words is "thirty-eight trillion, three hundred sixty-five billion, one hundred forty-five million, eight hundred forty-one thousand, four hundred eight".