128090145456 has 480 divisors, whose sum is σ = 466086612992. Its totient is φ = 31927633920.

The previous prime is 128090145439. The next prime is 128090145479. The reversal of 128090145456 is 654541090821.

128090145456 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 90 + 14 + 545 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17463966 + ... + 17471298.

Almost surely, 2^128090145456 is an apocalyptic number.

128090145456 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 128090145456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233043306496).

128090145456 is an abundant number, since it is smaller than the sum of its proper divisors (337996467536).

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

128090145456 is a wasteful number, since it uses less digits than its factorization.

128090145456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7441 (or 7432 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 128090145456 in words is "one hundred twenty-eight billion, ninety million, one hundred forty-five thousand, four hundred fifty-six".