128223793152 has 1040 divisors, whose sum is σ = 490195571712. Its totient is φ = 32487505920.

The previous prime is 128223793133. The next prime is 128223793169. The reversal of 128223793152 is 251397322821.

128223793152 is a `hidden beast` number, since 1 + 282 + 237 + 93 + 1 + 52 = 666.

It is a super-2 number, since 2×128223793152² (a number of 23 digits) contains 22 as substring.

Its product of digits (362880) is a multiple of the sum of its prime factors (224).

It is a junction number, because it is equal to n+sod(n) for n = 128223793098 and 128223793107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 935940028 + ... + 935940164.

Almost surely, 2^128223793152 is an apocalyptic number.

128223793152 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 128223793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245097785856).

128223793152 is an abundant number, since it is smaller than the sum of its proper divisors (361971778560).

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

128223793152 is a wasteful number, since it uses less digits than its factorization.

128223793152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 193 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 128223793152 in words is "one hundred twenty-eight billion, two hundred twenty-three million, seven hundred ninety-three thousand, one hundred fifty-two".