454051216213232 has 240 divisors, whose sum is σ = 987531262704000. Its totient is φ = 202029029368320.

The previous prime is 454051216213193. The next prime is 454051216213247. The reversal of 454051216213232 is 232312612150454.

It is a self number, because there is not a number n which added to its sum of digits gives 454051216213232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55244090819 + ... + 55244099037.

It is an arithmetic number, because the mean of its divisors is an integer number (4114713594600).

Almost surely, 2^{454051216213232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454051216213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493765631352000).

454051216213232 is an abundant number, since it is smaller than the sum of its proper divisors (533480046490768).

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

454051216213232 is a wasteful number, since it uses less digits than its factorization.

454051216213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10283 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

Adding to 454051216213232 its reverse (232312612150454), we get a palindrome (686363828363686).

The spelling of 454051216213232 in words is "four hundred fifty-four trillion, fifty-one billion, two hundred sixteen million, two hundred thirteen thousand, two hundred thirty-two".