128301314963472 has 180 divisors, whose sum is σ = 417694627418796. Its totient is φ = 36656973964800.

The previous prime is 128301314963417. The next prime is 128301314963527. The reversal of 128301314963472 is 274369413103821.

128301314963472 is a `hidden beast` number, since 1 + 2 + 8 + 30 + 131 + 4 + 9 + 6 + 3 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (128301314963417) and next prime (128301314963527).

It can be written as a sum of positive squares in 2 ways, for example, as 45479593748736 + 82821721214736 = 6743856^2 + 9100644^2 .

It is a super-2 number, since 2×128301314963472² (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 35 ways as a sum of consecutive naturals, for example, 898164438 + ... + 898307274.

Almost surely, 2^{128301314963472} is an apocalyptic number.

128301314963472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128301314963472 is an abundant number, since it is smaller than the sum of its proper divisors (289393312455324).

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

128301314963472 is a wasteful number, since it uses less digits than its factorization.

128301314963472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270166 (or 270150 counting only the distinct ones).

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

The spelling of 128301314963472 in words is "one hundred twenty-eight trillion, three hundred one billion, three hundred fourteen million, nine hundred sixty-three thousand, four hundred seventy-two".