459646503552 has 160 divisors (see below), whose sum is σ = 1376618164020. Its totient is φ = 152239067136.

The previous prime is 459646503497. The next prime is 459646503583. The reversal of 459646503552 is 255305646954.

459646503552 is a `hidden beast` number, since 4 + 5 + 96 + 46 + 503 + 5 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 437153702976 + 22492800576 = 661176^2 + 149976^2 .

It is a super-2 number, since 2×459646503552² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1486588 + ... + 1768964.

Almost surely, 2^459646503552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459646503552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688309082010).

459646503552 is an abundant number, since it is smaller than the sum of its proper divisors (916971660468).

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

459646503552 is a wasteful number, since it uses less digits than its factorization.

459646503552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282560 (or 282539 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 459646503552 in words is "four hundred fifty-nine billion, six hundred forty-six million, five hundred three thousand, five hundred fifty-two".