456064528950 has 384 divisors, whose sum is σ = 1314936374400. Its totient is φ = 116128235520.

The previous prime is 456064528939. The next prime is 456064528957. The reversal of 456064528950 is 59825460654.

456064528950 is a `hidden beast` number, since 4 + 5 + 6 + 0 + 64 + 528 + 9 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456064528957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 769079854 + ... + 769080446.

It is an arithmetic number, because the mean of its divisors is an integer number (3424313475).

Almost surely, 2^456064528950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456064528950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657468187200).

456064528950 is an abundant number, since it is smaller than the sum of its proper divisors (858871845450).

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

456064528950 is a wasteful number, since it uses less digits than its factorization.

456064528950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 456064528950 in words is "four hundred fifty-six billion, sixty-four million, five hundred twenty-eight thousand, nine hundred fifty".