38308903686144 has 1248 divisors, whose sum is σ = 144258057216000. Its totient is φ = 9887381323776.

The previous prime is 38308903686133. The next prime is 38308903686149. The reversal of 38308903686144 is 44168630980383.

38308903686144 is a `hidden beast` number, since 3 + 8 + 3 + 0 + 8 + 9 + 0 + 3 + 6 + 8 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (38308903686149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4257013357 + ... + 4257022355.

It is an arithmetic number, because the mean of its divisors is an integer number (115591392000).

Almost surely, 2^{38308903686144} 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 38308903686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72129028608000).

38308903686144 is an abundant number, since it is smaller than the sum of its proper divisors (105949153529856).

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

38308903686144 is an equidigital number, since it uses as much as digits as its factorization.

38308903686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9105 (or 9071 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 38308903686144 in words is "thirty-eight trillion, three hundred eight billion, nine hundred three million, six hundred eighty-six thousand, one hundred forty-four".