128093313546 has 384 divisors, whose sum is σ = 337703385600. Its totient is φ = 35879500800.

The previous prime is 128093313373. The next prime is 128093313547. The reversal of 128093313546 is 645313390821.

128093313546 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 93 + 3 + 13 + 546 = 666.

It is not an unprimeable number, because it can be changed into a prime (128093313547) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 815880900 + ... + 815881056.

It is an arithmetic number, because the mean of its divisors is an integer number (879435900).

Almost surely, 2^128093313546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128093313546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168851692800).

128093313546 is an abundant number, since it is smaller than the sum of its proper divisors (209610072054).

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

128093313546 is a wasteful number, since it uses less digits than its factorization.

128093313546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 128093313546 in words is "one hundred twenty-eight billion, ninety-three million, three hundred thirteen thousand, five hundred forty-six".