128451276801 has 27 divisors (see below), whose sum is σ = 186808855779. Its totient is φ = 85052858112.

The previous prime is 128451276787. The next prime is 128451276923. The reversal of 128451276801 is 108672154821.

The square root of 128451276801 is 358401.

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

128451276801 is a `hidden beast` number, since 128 + 4 + 512 + 7 + 6 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31122252225 + 97329024576 = 176415^2 + 311976^2 .

It is not a de Polignac number, because 128451276801 - 2⁷ = 128451276673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128451276301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 207513870 + ... + 207514488.

Almost surely, 2^128451276801 is an apocalyptic number.

128451276801 is the 358401-st square number.

128451276801 is the 179201-st centered octagonal number.

It is an amenable number.

128451276801 is a deficient number, since it is larger than the sum of its proper divisors (58357578978).

128451276801 is an frugal number, since it uses more digits than its factorization.

128451276801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 128451276801 in words is "one hundred twenty-eight billion, four hundred fifty-one million, two hundred seventy-six thousand, eight hundred one".