38292718806144 has 768 divisors, whose sum is σ = 127984964956800. Its totient is φ = 11254621593600.

The previous prime is 38292718806143. The next prime is 38292718806169. The reversal of 38292718806144 is 44160881729283.

It is a happy number.

38292718806144 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 2 + 7 + 1 + 8 + 8 + 0 + 614 + 4 = 666.

38292718806144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×38292718806144³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (38292718806143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5121397734 + ... + 5121405210.

Almost surely, 2^{38292718806144} 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 38292718806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63992482478400).

38292718806144 is an abundant number, since it is smaller than the sum of its proper divisors (89692246150656).

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

38292718806144 is a wasteful number, since it uses less digits than its factorization.

38292718806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7890 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 38292718806144 in words is "thirty-eight trillion, two hundred ninety-two billion, seven hundred eighteen million, eight hundred six thousand, one hundred forty-four".