465243411633000 has 1536 divisors, whose sum is σ = 1965338943160320. Its totient is φ = 89163562752000.

The previous prime is 465243411632969. The next prime is 465243411633001. The reversal of 465243411633000 is 336114342564.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (465243411633001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45156105849 + ... + 45156116151.

It is an arithmetic number, because the mean of its divisors is an integer number (1279517541120).

Almost surely, 2^{465243411633000} is an apocalyptic number.

465243411633000 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 465243411633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982669471580160).

465243411633000 is an abundant number, since it is smaller than the sum of its proper divisors (1500095531527320).

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

465243411633000 is a wasteful number, since it uses less digits than its factorization.

465243411633000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11736 (or 11711 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

Adding to 465243411633000 its reverse (336114342564), we get a palindrome (465579525975564).

The spelling of 465243411633000 in words is "four hundred sixty-five trillion, two hundred forty-three billion, four hundred eleven million, six hundred thirty-three thousand".