138470548930560 has 3072 divisors, whose sum is σ = 657392360002560. Its totient is φ = 27070373560320.

The previous prime is 138470548930517. The next prime is 138470548930583. The reversal of 138470548930560 is 65039845074831.

138470548930560 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 7 + 0 + 548 + 9 + 30 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×138470548930560² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52115372752 + ... + 52115375408.

It is an arithmetic number, because the mean of its divisors is an integer number (213994908855).

Almost surely, 2^{138470548930560} is an apocalyptic number.

138470548930560 is a gapful number since it is divisible by the number (10) 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 138470548930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328696180001280).

138470548930560 is an abundant number, since it is smaller than the sum of its proper divisors (518921811072000).

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

138470548930560 is an equidigital number, since it uses as much as digits as its factorization.

138470548930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 138470548930560 in words is "one hundred thirty-eight trillion, four hundred seventy billion, five hundred forty-eight million, nine hundred thirty thousand, five hundred sixty".