38195117856 has 288 divisors, whose sum is σ = 128476228608. Its totient is φ = 10533058560.

The previous prime is 38195117819. The next prime is 38195117879. The reversal of 38195117856 is 65871159183.

It is a happy number.

38195117856 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 511 + 78 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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, 38309550 + ... + 38310546.

It is an arithmetic number, because the mean of its divisors is an integer number (446098016).

Almost surely, 2^38195117856 is an apocalyptic number.

38195117856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38195117856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64238114304).

38195117856 is an abundant number, since it is smaller than the sum of its proper divisors (90281110752).

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

38195117856 is a wasteful number, since it uses less digits than its factorization.

38195117856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1653 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

It can be divided in two parts, 381951 and 17856, that multiplied together give a square (6820117056 = 82584²).

The spelling of 38195117856 in words is "thirty-eight billion, one hundred ninety-five million, one hundred seventeen thousand, eight hundred fifty-six".