138328161850368 has 792 divisors, whose sum is σ = 489525213671520. Its totient is φ = 37408526991360.

The previous prime is 138328161850367. The next prime is 138328161850379. The reversal of 138328161850368 is 863058161823831.

138328161850368 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 2 + 8 + 1 + 61 + 8 + 503 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138328161850367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10407649803 + ... + 10407663093.

Almost surely, 2^{138328161850368} is an apocalyptic number.

138328161850368 is a gapful number since it is divisible by the number (18) 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 138328161850368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244762606835760).

138328161850368 is an abundant number, since it is smaller than the sum of its proper divisors (351197051821152).

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

138328161850368 is a wasteful number, since it uses less digits than its factorization.

138328161850368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14563 (or 14535 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 138328161850368 in words is "one hundred thirty-eight trillion, three hundred twenty-eight billion, one hundred sixty-one million, eight hundred fifty thousand, three hundred sixty-eight".