128171561472000 has 1248 divisors, whose sum is σ = 502457529379104. Its totient is φ = 31298420736000.

The previous prime is 128171561471977. The next prime is 128171561472023. The reversal of 128171561472000 is 274165171821.

128171561472000 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 7 + 1 + 5 + 614 + 7 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128171561471977) and next prime (128171561472023).

It can be written as a sum of positive squares in 16 ways, for example, as 9967002587136 + 118204558884864 = 3157056^2 + 10872192^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2898409890 + ... + 2898454110.

It is an arithmetic number, because the mean of its divisors is an integer number (402610199823).

Almost surely, 2^{128171561472000} is an apocalyptic number.

128171561472000 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 128171561472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251228764689552).

128171561472000 is an abundant number, since it is smaller than the sum of its proper divisors (374285967907104).

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

128171561472000 is a wasteful number, since it uses less digits than its factorization.

128171561472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44320 (or 44285 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 128171561472000 in words is "one hundred twenty-eight trillion, one hundred seventy-one billion, five hundred sixty-one million, four hundred seventy-two thousand".