38709356118048 has 720 divisors, whose sum is σ = 144535739040000. Its totient is φ = 10049723550720.

The previous prime is 38709356117981. The next prime is 38709356118229. The reversal of 38709356118048 is 84081165390783.

38709356118048 is a `hidden beast` number, since 3 + 8 + 7 + 0 + 9 + 3 + 5 + 611 + 8 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×38709356118048² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3840589873 + ... + 3840599951.

It is an arithmetic number, because the mean of its divisors is an integer number (200744082000).

Almost surely, 2^{38709356118048} 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 38709356118048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72267869520000).

38709356118048 is an abundant number, since it is smaller than the sum of its proper divisors (105826382921952).

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

38709356118048 is a wasteful number, since it uses less digits than its factorization.

38709356118048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12875 (or 12851 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 38709356118048 in words is "thirty-eight trillion, seven hundred nine billion, three hundred fifty-six million, one hundred eighteen thousand, forty-eight".