128457382464 has 448 divisors, whose sum is σ = 394289280000. Its totient is φ = 40991588352.

The previous prime is 128457382457. The next prime is 128457382507. The reversal of 128457382464 is 464283754821.

128457382464 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 573 + 8 + 2 + 4 + 64 = 666.

It is a super-2 number, since 2×128457382464² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 128457382464.

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, 1178508042 + ... + 1178508150.

It is an arithmetic number, because the mean of its divisors is an integer number (880110000).

Almost surely, 2^128457382464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128457382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197144640000).

128457382464 is an abundant number, since it is smaller than the sum of its proper divisors (265831897536).

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

128457382464 is a wasteful number, since it uses less digits than its factorization.

128457382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 128457382464 in words is "one hundred twenty-eight billion, four hundred fifty-seven million, three hundred eighty-two thousand, four hundred sixty-four".