128738370816 has 288 divisors, whose sum is σ = 417839385600. Its totient is φ = 38774200320.

The previous prime is 128738370779. The next prime is 128738370821. The reversal of 128738370816 is 618073837821.

128738370816 is a `hidden beast` number, since 128 + 73 + 8 + 370 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12692275 + ... + 12702413.

It is an arithmetic number, because the mean of its divisors is an integer number (1450831200).

Almost surely, 2^128738370816 is an apocalyptic number.

128738370816 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 128738370816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208919692800).

128738370816 is an abundant number, since it is smaller than the sum of its proper divisors (289101014784).

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

128738370816 is a wasteful number, since it uses less digits than its factorization.

128738370816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342 (or 10322 counting only the distinct ones).

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

The spelling of 128738370816 in words is "one hundred twenty-eight billion, seven hundred thirty-eight million, three hundred seventy thousand, eight hundred sixteen".