454862880920448 has 3072 divisors, whose sum is σ = 2044873289088000. Its totient is φ = 97238927278080.

The previous prime is 454862880920401. The next prime is 454862880920629. The reversal of 454862880920448 is 844029088268454.

454862880920448 is a `hidden beast` number, since 4 + 5 + 4 + 86 + 2 + 8 + 80 + 9 + 20 + 448 = 666.

It is a super-3 number, since 3×454862880920448³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 383 ways as a sum of consecutive naturals, for example, 7821800940 + ... + 7821859092.

It is an arithmetic number, because the mean of its divisors is an integer number (665648857125).

Almost surely, 2^{454862880920448} is an apocalyptic number.

454862880920448 is a gapful number since it is divisible by the number (48) 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 454862880920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022436644544000).

454862880920448 is an abundant number, since it is smaller than the sum of its proper divisors (1590010408167552).

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

454862880920448 is a wasteful number, since it uses less digits than its factorization.

454862880920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58250 (or 58225 counting only the distinct ones).

The product of its (nonzero) digits is 1132462080, while the sum is 72.

The spelling of 454862880920448 in words is "four hundred fifty-four trillion, eight hundred sixty-two billion, eight hundred eighty million, nine hundred twenty thousand, four hundred forty-eight".