139354433520768 has 256 divisors, whose sum is σ = 416883044054400. Its totient is φ = 45822814912512.

The previous prime is 139354433520767. The next prime is 139354433520793. The reversal of 139354433520768 is 867025334453931.

139354433520768 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 5 + 4 + 4 + 33 + 520 + 76 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (139354433520767) 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 31 ways as a sum of consecutive naturals, for example, 102239196 + ... + 103593252.

It is a 1-persistent number, because it is pandigital, but 2⋅139354433520768 = 278708867041536 is not.

Almost surely, 2^{139354433520768} is an apocalyptic number.

139354433520768 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 139354433520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208441522027200).

139354433520768 is an abundant number, since it is smaller than the sum of its proper divisors (277528610533632).

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

139354433520768 is a wasteful number, since it uses less digits than its factorization.

139354433520768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354484 (or 1354466 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 139354433520768 in words is "one hundred thirty-nine trillion, three hundred fifty-four billion, four hundred thirty-three million, five hundred twenty thousand, seven hundred sixty-eight".