128341629323712 has 448 divisors, whose sum is σ = 436978824775680. Its totient is φ = 36630846120960.

The previous prime is 128341629323671. The next prime is 128341629323801. The reversal of 128341629323712 is 217323926143821.

128341629323712 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 4 + 1 + 629 + 3 + 2 + 3 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 947375662 + ... + 947511122.

Almost surely, 2^{128341629323712} is an apocalyptic number.

128341629323712 is a gapful number since it is divisible by the number (12) 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 128341629323712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218489412387840).

128341629323712 is an abundant number, since it is smaller than the sum of its proper divisors (308637195451968).

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

128341629323712 is an frugal number, since it uses more digits than its factorization.

128341629323712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136468 (or 136440 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 128341629323712 in words is "one hundred twenty-eight trillion, three hundred forty-one billion, six hundred twenty-nine million, three hundred twenty-three thousand, seven hundred twelve".