454112242551200 has 288 divisors, whose sum is σ = 1170889998868800. Its totient is φ = 171503716884480.

The previous prime is 454112242551173. The next prime is 454112242551203. The reversal of 454112242551200 is 2155242211454.

It is a super-3 number, since 3×454112242551200³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (454112242551203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31652062427 + ... + 31652076773.

It is an arithmetic number, because the mean of its divisors is an integer number (4065590273850).

Almost surely, 2^{454112242551200} is an apocalyptic number.

454112242551200 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 454112242551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585444999434400).

454112242551200 is an abundant number, since it is smaller than the sum of its proper divisors (716777756317600).

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

454112242551200 is a wasteful number, since it uses less digits than its factorization.

454112242551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21272 (or 21259 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 38.

Adding to 454112242551200 its reverse (2155242211454), we get a palindrome (456267484762654).

The spelling of 454112242551200 in words is "four hundred fifty-four trillion, one hundred twelve billion, two hundred forty-two million, five hundred fifty-one thousand, two hundred".