38581581201408 has 720 divisors, whose sum is σ = 135160100241600. Its totient is φ = 10842227343360.

The previous prime is 38581581201407. The next prime is 38581581201419. The reversal of 38581581201408 is 80410218518583.

It is a happy number.

38581581201408 is a `hidden beast` number, since 3 + 8 + 58 + 1 + 581 + 2 + 0 + 1 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×38581581201408² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (38581581201403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1322223363 + ... + 1322252541.

Almost surely, 2^{38581581201408} 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 38581581201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67580050120800).

38581581201408 is an abundant number, since it is smaller than the sum of its proper divisors (96578519040192).

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

38581581201408 is an equidigital number, since it uses as much as digits as its factorization.

38581581201408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29291 (or 29252 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 38581581201408 in words is "thirty-eight trillion, five hundred eighty-one billion, five hundred eighty-one million, two hundred one thousand, four hundred eight".