38500914816 has 960 divisors, whose sum is σ = 147079120320. Its totient is φ = 9782083584.

The previous prime is 38500914797. The next prime is 38500914817. The reversal of 38500914816 is 61841900583.

38500914816 is a `hidden beast` number, since 3 + 8 + 500 + 91 + 48 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (38500914817) 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 119 ways as a sum of consecutive naturals, for example, 527409756 + ... + 527409828.

It is an arithmetic number, because the mean of its divisors is an integer number (153207417).

Almost surely, 2^38500914816 is an apocalyptic number.

38500914816 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 38500914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73539560160).

38500914816 is an abundant number, since it is smaller than the sum of its proper divisors (108578205504).

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

38500914816 is a wasteful number, since it uses less digits than its factorization.

38500914816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 38500914816 in words is "thirty-eight billion, five hundred million, nine hundred fourteen thousand, eight hundred sixteen".