38518470144 has 720 divisors, whose sum is σ = 142633370880. Its totient is φ = 9792921600.

The previous prime is 38518470131. The next prime is 38518470163. The reversal of 38518470144 is 44107481583.

38518470144 is a `hidden beast` number, since 38 + 5 + 1 + 8 + 470 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38518470144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277111227 + ... + 277111365.

It is an arithmetic number, because the mean of its divisors is an integer number (198101904).

Almost surely, 2^38518470144 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 38518470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71316685440).

38518470144 is an abundant number, since it is smaller than the sum of its proper divisors (104114900736).

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

38518470144 is a wasteful number, since it uses less digits than its factorization.

38518470144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 38518470144 in words is "thirty-eight billion, five hundred eighteen million, four hundred seventy thousand, one hundred forty-four".