38891656286208 has 1872 divisors, whose sum is σ = 137897086504320. Its totient is φ = 10835538739200.

The previous prime is 38891656286159. The next prime is 38891656286213. The reversal of 38891656286208 is 80268265619883.

38891656286208 is a `hidden beast` number, since 3 + 8 + 8 + 91 + 6 + 56 + 286 + 208 = 666.

It is a super-2 number, since 2×38891656286208² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 356804186058 + ... + 356804186166.

It is an arithmetic number, because the mean of its divisors is an integer number (73662973560).

Almost surely, 2^{38891656286208} 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 38891656286208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68948543252160).

38891656286208 is an abundant number, since it is smaller than the sum of its proper divisors (99005430218112).

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

38891656286208 is an equidigital number, since it uses as much as digits as its factorization.

38891656286208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 38891656286208 in words is "thirty-eight trillion, eight hundred ninety-one billion, six hundred fifty-six million, two hundred eighty-six thousand, two hundred eight".