128293476864 has 320 divisors, whose sum is σ = 412499788800. Its totient is φ = 34613526528.

The previous prime is 128293476859. The next prime is 128293476869. The reversal of 128293476864 is 468674392821.

It is an interprime number because it is at equal distance from previous prime (128293476859) and next prime (128293476869).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 128293476798 and 128293476807.

It is not an unprimeable number, because it can be changed into a prime (128293476869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77424324 + ... + 77425980.

It is an arithmetic number, because the mean of its divisors is an integer number (1289061840).

Almost surely, 2^128293476864 is an apocalyptic number.

128293476864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128293476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206249894400).

128293476864 is an abundant number, since it is smaller than the sum of its proper divisors (284206311936).

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

128293476864 is a wasteful number, since it uses less digits than its factorization.

128293476864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2067 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The spelling of 128293476864 in words is "one hundred twenty-eight billion, two hundred ninety-three million, four hundred seventy-six thousand, eight hundred sixty-four".