38163693398544 has 1920 divisors, whose sum is σ = 143136438681600. Its totient is φ = 9601491271680.

The previous prime is 38163693398503. The next prime is 38163693398599. The reversal of 38163693398544 is 44589339636183.

38163693398544 is a `hidden beast` number, since 3 + 8 + 16 + 3 + 69 + 3 + 3 + 9 + 8 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41080401472 + ... + 41080402400.

It is an arithmetic number, because the mean of its divisors is an integer number (74550228480).

Almost surely, 2^{38163693398544} 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 38163693398544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71568219340800).

38163693398544 is an abundant number, since it is smaller than the sum of its proper divisors (104972745283056).

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

38163693398544 is a wasteful number, since it uses less digits than its factorization.

38163693398544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1097 counting only the distinct ones).

The product of its digits is 1209323520, while the sum is 72.

The spelling of 38163693398544 in words is "thirty-eight trillion, one hundred sixty-three billion, six hundred ninety-three million, three hundred ninety-eight thousand, five hundred forty-four".