128746303551657 has 36 divisors (see below), whose sum is σ = 204542357848192. Its totient is φ = 77977492678800.

The previous prime is 128746303551599. The next prime is 128746303551661. The reversal of 128746303551657 is 756155303647821.

128746303551657 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 4 + 6 + 30 + 35 + 516 + 57 = 666.

It is not a de Polignac number, because 128746303551657 - 2¹⁴ = 128746303535273 is a prime.

It is a super-2 number, since 2×128746303551657² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 128746303551594 and 128746303551603.

It is not an unprimeable number, because it can be changed into a prime (128746303551157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36629569 + ... + 39990222.

Almost surely, 2^{128746303551657} is an apocalyptic number.

It is an amenable number.

128746303551657 is a deficient number, since it is larger than the sum of its proper divisors (75796054296535).

128746303551657 is a wasteful number, since it uses less digits than its factorization.

128746303551657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76621362 (or 76621348 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 128746303551657 in words is "one hundred twenty-eight trillion, seven hundred forty-six billion, three hundred three million, five hundred fifty-one thousand, six hundred fifty-seven".