128229880464 has 525 divisors, whose sum is σ = 448435227097. Its totient is φ = 35373760128.

The previous prime is 128229880459. The next prime is 128229880487. The reversal of 128229880464 is 464088922821.

The square root of 128229880464 is 358092.

It is a perfect power (a square), and thus also a powerful number.

128229880464 is a `hidden beast` number, since 1 + 2 + 82 + 29 + 8 + 80 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67240638864 + 60989241600 = 259308^2 + 246960^2 .

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 128229880464.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 4421720002 + ... + 4421720030.

Almost surely, 2^128229880464 is an apocalyptic number.

128229880464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

128229880464 is the 358092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128229880464

128229880464 is an abundant number, since it is smaller than the sum of its proper divisors (320205346633).

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

128229880464 is an frugal number, since it uses more digits than its factorization.

128229880464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 128229880464 in words is "one hundred twenty-eight billion, two hundred twenty-nine million, eight hundred eighty thousand, four hundred sixty-four".