128334973536 has 576 divisors, whose sum is σ = 485461831680. Its totient is φ = 32252774400.

The previous prime is 128334973531. The next prime is 128334973573. The reversal of 128334973536 is 635379433821.

128334973536 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 34 + 9 + 73 + 536 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128334973531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22683220 + ... + 22688876.

It is an arithmetic number, because the mean of its divisors is an integer number (842815680).

Almost surely, 2^128334973536 is an apocalyptic number.

128334973536 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 128334973536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242730915840).

128334973536 is an abundant number, since it is smaller than the sum of its proper divisors (357126858144).

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

128334973536 is a wasteful number, since it uses less digits than its factorization.

128334973536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5711 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

It can be divided in two parts, 128334 and 973536, that added together give a triangular number (1101870 = T₁₄₈₄).

The spelling of 128334973536 in words is "one hundred twenty-eight billion, three hundred thirty-four million, nine hundred seventy-three thousand, five hundred thirty-six".