138296320876448 has 192 divisors, whose sum is σ = 323283165811200. Its totient is φ = 56979750912000.

The previous prime is 138296320876381. The next prime is 138296320876451. The reversal of 138296320876448 is 844678023692831.

It is a super-2 number, since 2×138296320876448² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4355636573 + ... + 4355668323.

It is an arithmetic number, because the mean of its divisors is an integer number (1683766488600).

Almost surely, 2^{138296320876448} 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 138296320876448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161641582905600).

138296320876448 is an abundant number, since it is smaller than the sum of its proper divisors (184986844934752).

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

138296320876448 is a wasteful number, since it uses less digits than its factorization.

138296320876448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34663 (or 34655 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 71.

The spelling of 138296320876448 in words is "one hundred thirty-eight trillion, two hundred ninety-six billion, three hundred twenty million, eight hundred seventy-six thousand, four hundred forty-eight".