463332224409600 has 1344 divisors, whose sum is σ = 1912101377679360. Its totient is φ = 96380308684800.

The previous prime is 463332224409589. The next prime is 463332224409707. The reversal of 463332224409600 is 6904422233364.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 463332224409600.

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, 3969580041 + ... + 3969696759.

It is an arithmetic number, because the mean of its divisors is an integer number (1422694477440).

Almost surely, 2^{463332224409600} is an apocalyptic number.

463332224409600 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 463332224409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956050688839680).

463332224409600 is an abundant number, since it is smaller than the sum of its proper divisors (1448769153269760).

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

463332224409600 is a wasteful number, since it uses less digits than its factorization.

463332224409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116849 (or 116820 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 48.

The spelling of 463332224409600 in words is "four hundred sixty-three trillion, three hundred thirty-two billion, two hundred twenty-four million, four hundred nine thousand, six hundred".