38385168127488 has 540 divisors, whose sum is σ = 139544767126908. Its totient is φ = 10123550760960.

The previous prime is 38385168127483. The next prime is 38385168127543. The reversal of 38385168127488 is 88472186158383.

38385168127488 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 5 + 16 + 8 + 127 + 488 = 666.

It is a super-2 number, since 2×38385168127488² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38385168127483) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 37655883 + ... + 38661813.

Almost surely, 2^{38385168127488} 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 38385168127488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69772383563454).

38385168127488 is an abundant number, since it is smaller than the sum of its proper divisors (101159598999420).

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

38385168127488 is a wasteful number, since it uses less digits than its factorization.

38385168127488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005995 (or 1005956 counting only the distinct ones).

The product of its digits is 495452160, while the sum is 72.

The spelling of 38385168127488 in words is "thirty-eight trillion, three hundred eighty-five billion, one hundred sixty-eight million, one hundred twenty-seven thousand, four hundred eighty-eight".