461334522000 has 480 divisors, whose sum is σ = 1651953768192. Its totient is φ = 110668800000.

The previous prime is 461334521917. The next prime is 461334522013. The reversal of 461334522000 is 225433164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70418725 + ... + 70425275.

Almost surely, 2^461334522000 is an apocalyptic number.

461334522000 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 461334522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825976884096).

461334522000 is an abundant number, since it is smaller than the sum of its proper divisors (1190619246192).

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

461334522000 is a wasteful number, since it uses less digits than its factorization.

461334522000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6696 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 461334522000 its reverse (225433164), we get a palindrome (461559955164).

The spelling of 461334522000 in words is "four hundred sixty-one billion, three hundred thirty-four million, five hundred twenty-two thousand".