128447833812480 has 7200 divisors, whose sum is σ = 634641026088960. Its totient is φ = 24650850631680.

The previous prime is 128447833812479. The next prime is 128447833812521. The reversal of 128447833812480 is 84218338744821.

128447833812480 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 4 + 7 + 8 + 3 + 381 + 248 + 0 = 666.

It is a super-2 number, since 2×128447833812480² (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 an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1011400266177 + ... + 1011400266303.

Almost surely, 2^{128447833812480} is an apocalyptic number.

128447833812480 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 128447833812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317320513044480).

128447833812480 is an abundant number, since it is smaller than the sum of its proper divisors (506193192276480).

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

128447833812480 is a wasteful number, since it uses less digits than its factorization.

128447833812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 128447833812480 in words is "one hundred twenty-eight trillion, four hundred forty-seven billion, eight hundred thirty-three million, eight hundred twelve thousand, four hundred eighty".