128057454336 has 288 divisors, whose sum is σ = 399025428480. Its totient is φ = 35698802688.

The previous prime is 128057454281. The next prime is 128057454341. The reversal of 128057454336 is 633454750821.

It is a super-2 number, since 2×128057454336² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 115470550 + ... + 115471658.

It is an arithmetic number, because the mean of its divisors is an integer number (1385504960).

Almost surely, 2^128057454336 is an apocalyptic number.

128057454336 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 128057454336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199512714240).

128057454336 is an abundant number, since it is smaller than the sum of its proper divisors (270967974144).

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

128057454336 is a wasteful number, since it uses less digits than its factorization.

128057454336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 128057454336 in words is "one hundred twenty-eight billion, fifty-seven million, four hundred fifty-four thousand, three hundred thirty-six".