456530473032150 has 384 divisors, whose sum is σ = 1314075445788672. Its totient is φ = 103850501760000.

The previous prime is 456530473032143. The next prime is 456530473032167. The reversal of 456530473032150 is 51230374035654.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 456530473032150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 341167687 + ... + 342503213.

It is an arithmetic number, because the mean of its divisors is an integer number (3422071473408).

Almost surely, 2^{456530473032150} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456530473032150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657037722894336).

456530473032150 is an abundant number, since it is smaller than the sum of its proper divisors (857544972756522).

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

456530473032150 is a wasteful number, since it uses less digits than its factorization.

456530473032150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335788 (or 1335783 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 48.

The spelling of 456530473032150 in words is "four hundred fifty-six trillion, five hundred thirty billion, four hundred seventy-three million, thirty-two thousand, one hundred fifty".