1450528172160 has 384 divisors, whose sum is σ = 4788315907200. Its totient is φ = 373484666880.

The previous prime is 1450528172153. The next prime is 1450528172173. The reversal of 1450528172160 is 612718250541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1548055212 + ... + 1548056148.

It is an arithmetic number, because the mean of its divisors is an integer number (12469572675).

Almost surely, 2^{1450528172160} is an apocalyptic number.

1450528172160 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 1450528172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394157953600).

1450528172160 is an abundant number, since it is smaller than the sum of its proper divisors (3337787735040).

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

1450528172160 is an equidigital number, since it uses as much as digits as its factorization.

1450528172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 1450528172160 in words is "one trillion, four hundred fifty billion, five hundred twenty-eight million, one hundred seventy-two thousand, one hundred sixty".