463566645000 has 400 divisors, whose sum is σ = 1637541678300. Its totient is φ = 122472000000.

The previous prime is 463566644899. The next prime is 463566645007. The reversal of 463566645000 is 546665364.

It can be written as a sum of positive squares in 10 ways, for example, as 37504970244 + 426061674756 = 193662^2 + 652734^2 .

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

It is not an unprimeable number, because it can be changed into a prime (463566645007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 44139750 + ... + 44150250.

Almost surely, 2^463566645000 is an apocalyptic number.

463566645000 is a gapful number since it is divisible by the number (40) 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 463566645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818770839150).

463566645000 is an abundant number, since it is smaller than the sum of its proper divisors (1173975033300).

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

463566645000 is a wasteful number, since it uses less digits than its factorization.

463566645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10648 (or 10620 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 463566645000 in words is "four hundred sixty-three billion, five hundred sixty-six million, six hundred forty-five thousand".