38063162801664 has 1920 divisors, whose sum is σ = 157907653263360. Its totient is φ = 8830749081600.

The previous prime is 38063162801663. The next prime is 38063162801669. The reversal of 38063162801664 is 46610826136083.

38063162801664 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 3 + 1 + 628 + 0 + 1 + 6 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38063162801664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38063162801663) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3860747967 + ... + 3860757825.

It is an arithmetic number, because the mean of its divisors is an integer number (82243569408).

Almost surely, 2^{38063162801664} 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 38063162801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78953826631680).

38063162801664 is an abundant number, since it is smaller than the sum of its proper divisors (119844490461696).

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

38063162801664 is a wasteful number, since it uses less digits than its factorization.

38063162801664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9954 (or 9926 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 38063162801664 in words is "thirty-eight trillion, sixty-three billion, one hundred sixty-two million, eight hundred one thousand, six hundred sixty-four".