38433723486048 has 864 divisors, whose sum is σ = 128157866928000. Its totient is φ = 11236295116800.

The previous prime is 38433723486031. The next prime is 38433723486097. The reversal of 38433723486048 is 84068432733483.

It is a happy number.

38433723486048 is a `hidden beast` number, since 3 + 8 + 4 + 337 + 234 + 8 + 60 + 4 + 8 = 666.

38433723486048 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×38433723486048² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41017847436 + ... + 41017848372.

It is an arithmetic number, because the mean of its divisors is an integer number (148330864500).

Almost surely, 2^{38433723486048} 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 38433723486048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64078933464000).

38433723486048 is an abundant number, since it is smaller than the sum of its proper divisors (89724143441952).

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

38433723486048 is a wasteful number, since it uses less digits than its factorization.

38433723486048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 63.

The spelling of 38433723486048 in words is "thirty-eight trillion, four hundred thirty-three billion, seven hundred twenty-three million, four hundred eighty-six thousand, forty-eight".