461248113600 has 252 divisors, whose sum is σ = 1640508687480. Its totient is φ = 122915174400.

The previous prime is 461248113581. The next prime is 461248113611. The reversal of 461248113600 is 6311842164.

461248113600 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 48 + 1 + 1 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 22612206 + ... + 22632594.

Almost surely, 2^461248113600 is an apocalyptic number.

461248113600 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 461248113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820254343740).

461248113600 is an abundant number, since it is smaller than the sum of its proper divisors (1179260573880).

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

461248113600 is a wasteful number, since it uses less digits than its factorization.

461248113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21988 (or 21970 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 461248113600 its reverse (6311842164), we get a palindrome (467559955764).

The spelling of 461248113600 in words is "four hundred sixty-one billion, two hundred forty-eight million, one hundred thirteen thousand, six hundred".