38328933105162 has 160 divisors (see below), whose sum is σ = 98439831494400. Its totient is φ = 10919304548352.

The previous prime is 38328933105121. The next prime is 38328933105241. The reversal of 38328933105162 is 26150133982383.

38328933105162 is a `hidden beast` number, since 3 + 8 + 3 + 2 + 8 + 93 + 31 + 0 + 516 + 2 = 666.

It is a super-2 number, since 2×38328933105162² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38328933105099 and 38328933105108.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2761642539 + ... + 2761656417.

It is an arithmetic number, because the mean of its divisors is an integer number (615248946840).

Almost surely, 2^{38328933105162} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38328933105162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49219915747200).

38328933105162 is an abundant number, since it is smaller than the sum of its proper divisors (60110898389238).

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

38328933105162 is a wasteful number, since it uses less digits than its factorization.

38328933105162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20802 (or 20793 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 38328933105162 in words is "thirty-eight trillion, three hundred twenty-eight billion, nine hundred thirty-three million, one hundred five thousand, one hundred sixty-two".