128591091216 has 225 divisors, whose sum is σ = 433248455871. Its totient is φ = 36714492864.

The previous prime is 128591091163. The next prime is 128591091217. The reversal of 128591091216 is 612190195821.

The square root of 128591091216 is 358596.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (128591091217) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 90365481 + ... + 90366903.

Almost surely, 2^128591091216 is an apocalyptic number.

128591091216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128591091216 is the 358596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128591091216

128591091216 is an abundant number, since it is smaller than the sum of its proper divisors (304657364655).

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

128591091216 is an frugal number, since it uses more digits than its factorization.

128591091216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 128591091216 in words is "one hundred twenty-eight billion, five hundred ninety-one million, ninety-one thousand, two hundred sixteen".