128862819216 has 320 divisors, whose sum is σ = 387601858560. Its totient is φ = 40944683520.

The previous prime is 128862819167. The next prime is 128862819223. The reversal of 128862819216 is 612918268821.

128862819216 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 628 + 1 + 9 + 2 + 1 + 6 = 666.

It is a super-3 number, since 3×128862819216³ (a number of 34 digits) contains 333 as substring.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351124665 + ... + 351125031.

It is an arithmetic number, because the mean of its divisors is an integer number (1211255808).

Almost surely, 2^128862819216 is an apocalyptic number.

128862819216 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 128862819216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193800929280).

128862819216 is an abundant number, since it is smaller than the sum of its proper divisors (258739039344).

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

128862819216 is a wasteful number, since it uses less digits than its factorization.

128862819216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 727 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 128862819216 in words is "one hundred twenty-eight billion, eight hundred sixty-two million, eight hundred nineteen thousand, two hundred sixteen".