38214628128768 has 768 divisors, whose sum is σ = 134381549352960. Its totient is φ = 9379716268032.

The previous prime is 38214628128767. The next prime is 38214628128797. The reversal of 38214628128768 is 86782182641283.

It is a tau number, because it is divible by the number of its divisors (768).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38214628128699 and 38214628128708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38214628128767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475757346 + ... + 475837662.

It is an arithmetic number, because the mean of its divisors is an integer number (174975975720).

Almost surely, 2^{38214628128768} 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 38214628128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67190774676480).

38214628128768 is an abundant number, since it is smaller than the sum of its proper divisors (96166921224192).

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

38214628128768 is a wasteful number, since it uses less digits than its factorization.

38214628128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80422 (or 80402 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 66.

The spelling of 38214628128768 in words is "thirty-eight trillion, two hundred fourteen billion, six hundred twenty-eight million, one hundred twenty-eight thousand, seven hundred sixty-eight".