128177634816 has 1200 divisors, whose sum is σ = 497845323360. Its totient is φ = 32115916800.

The previous prime is 128177634811. The next prime is 128177634829. The reversal of 128177634816 is 618436771821.

128177634816 is a `hidden beast` number, since 1 + 281 + 7 + 7 + 6 + 348 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2709504) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128177634811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1440198100 + ... + 1440198188.

Almost surely, 2^128177634816 is an apocalyptic number.

128177634816 is a gapful number since it is divisible by the number (16) 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 128177634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248922661680).

128177634816 is an abundant number, since it is smaller than the sum of its proper divisors (369667688544).

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

128177634816 is an equidigital number, since it uses as much as digits as its factorization.

128177634816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 153 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 128177634816 in words is "one hundred twenty-eight billion, one hundred seventy-seven million, six hundred thirty-four thousand, eight hundred sixteen".