1454414510448 has 240 divisors, whose sum is σ = 4251403428480. Its totient is φ = 463775809536.

The previous prime is 1454414510429. The next prime is 1454414510509. The reversal of 1454414510448 is 8440154144541.

1454414510448 is a `hidden beast` number, since 1 + 4 + 54 + 4 + 145 + 10 + 448 = 666.

It is a super-4 number, since 4×1454414510448⁴ (a number of 50 digits) contains 4444 as substring.

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 47 ways as a sum of consecutive naturals, for example, 96483840 + ... + 96498912.

It is an arithmetic number, because the mean of its divisors is an integer number (17714180952).

Almost surely, 2^{1454414510448} is an apocalyptic number.

1454414510448 is a gapful number since it is divisible by the number (18) 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 1454414510448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125701714240).

1454414510448 is an abundant number, since it is smaller than the sum of its proper divisors (2796988918032).

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

1454414510448 is a wasteful number, since it uses less digits than its factorization.

1454414510448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15456 (or 15447 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

Adding to 1454414510448 its reverse (8440154144541), we get a palindrome (9894568654989).

The spelling of 1454414510448 in words is "one trillion, four hundred fifty-four billion, four hundred fourteen million, five hundred ten thousand, four hundred forty-eight".