128167282567801 has 9 divisors (see below), whose sum is σ = 136150224336399. Its totient is φ = 120627849514464.

The previous prime is 128167282567759. The next prime is 128167282567871. The reversal of 128167282567801 is 108765282761821.

The square root of 128167282567801 is 11321099.

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

It can be written as a sum of positive squares in only one way, i.e., 99784216532025 + 28383066035776 = 9989205^2 + 5327576^2 .

It is a de Polignac number, because none of the positive numbers 2^k-128167282567801 is a prime.

It is a super-3 number, since 3×128167282567801³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128167282567871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 192125710 + ... + 192791656.

Almost surely, 2^{128167282567801} is an apocalyptic number.

128167282567801 is the 11321099-th square number.

128167282567801 is the 5660550-th centered octagonal number.

It is an amenable number.

128167282567801 is a deficient number, since it is larger than the sum of its proper divisors (7982941768598).

128167282567801 is an frugal number, since it uses more digits than its factorization.

128167282567801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331928 (or 665964 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 64.

The spelling of 128167282567801 in words is "one hundred twenty-eight trillion, one hundred sixty-seven billion, two hundred eighty-two million, five hundred sixty-seven thousand, eight hundred one".