128237211648 has 936 divisors, whose sum is σ = 478570380288. Its totient is φ = 32774160384.

The previous prime is 128237211637. The next prime is 128237211649. The reversal of 128237211648 is 846112732821.

128237211648 is a `hidden beast` number, since 128 + 2 + 372 + 116 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (128237211649) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1009741761 + ... + 1009741887.

Almost surely, 2^128237211648 is an apocalyptic number.

128237211648 is a gapful number since it is divisible by the number (18) 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 128237211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239285190144).

128237211648 is an abundant number, since it is smaller than the sum of its proper divisors (350333168640).

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

128237211648 is a wasteful number, since it uses less digits than its factorization.

128237211648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 195 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 128237211648 in words is "one hundred twenty-eight billion, two hundred thirty-seven million, two hundred eleven thousand, six hundred forty-eight".