128314046592 has 192 divisors, whose sum is σ = 386435649600. Its totient is φ = 42377831424.

The previous prime is 128314046573. The next prime is 128314046617. The reversal of 128314046592 is 295640413821.

128314046592 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 14 + 0 + 46 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3371413 + ... + 3409259.

It is an arithmetic number, because the mean of its divisors is an integer number (2012685675).

Almost surely, 2^128314046592 is an apocalyptic number.

128314046592 is a gapful number since it is divisible by the number (12) 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 128314046592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193217824800).

128314046592 is an abundant number, since it is smaller than the sum of its proper divisors (258121603008).

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

128314046592 is an equidigital number, since it uses as much as digits as its factorization.

128314046592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37985 (or 37961 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 128314046592 in words is "one hundred twenty-eight billion, three hundred fourteen million, forty-six thousand, five hundred ninety-two".