128066642496 has 567 divisors, whose sum is σ = 422125423083. Its totient is φ = 37103339520.

The previous prime is 128066642477. The next prime is 128066642513. The reversal of 128066642496 is 694246660821.

The square root of 128066642496 is 357864.

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

It can be written as a sum of positive squares in 4 ways, for example, as 531948096 + 127534694400 = 23064^2 + 357120^2 .

It is a super-2 number, since 2×128066642496² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3461260590 + ... + 3461260626.

Almost surely, 2^128066642496 is an apocalyptic number.

128066642496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128066642496 is the 357864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128066642496

128066642496 is an abundant number, since it is smaller than the sum of its proper divisors (294058780587).

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

128066642496 is a wasteful number, since it uses less digits than its factorization.

128066642496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 128066642496 in words is "one hundred twenty-eight billion, sixty-six million, six hundred forty-two thousand, four hundred ninety-six".