128716256148480 has 4928 divisors, whose sum is σ = 635661372100608. Its totient is φ = 24130572779520.

The previous prime is 128716256148461. The next prime is 128716256148481. The reversal of 128716256148480 is 84841652617821.

128716256148480 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 1 + 6 + 2 + 5 + 6 + 148 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4928).

It is a super-2 number, since 2×128716256148480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128716256148481) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 175601986194 + ... + 175601986926.

Almost surely, 2^{128716256148480} is an apocalyptic number.

128716256148480 is a gapful number since it is divisible by the number (10) 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 128716256148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317830686050304).

128716256148480 is an abundant number, since it is smaller than the sum of its proper divisors (506945115952128).

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

128716256148480 is a wasteful number, since it uses less digits than its factorization.

128716256148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 128716256148480 in words is "one hundred twenty-eight trillion, seven hundred sixteen billion, two hundred fifty-six million, one hundred forty-eight thousand, four hundred eighty".