38068218287616 has 320 divisors, whose sum is σ = 116076959741952. Its totient is φ = 10980679680000.

The previous prime is 38068218287609. The next prime is 38068218287711. The reversal of 38068218287616 is 61678281286083.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31354596 + ... + 32546076.

Almost surely, 2^{38068218287616} 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 38068218287616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58038479870976).

38068218287616 is an abundant number, since it is smaller than the sum of its proper divisors (78008741454336).

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

38068218287616 is a wasteful number, since it uses less digits than its factorization.

38068218287616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191605 (or 1191589 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 66.

The spelling of 38068218287616 in words is "thirty-eight trillion, sixty-eight billion, two hundred eighteen million, two hundred eighty-seven thousand, six hundred sixteen".