454568105448720 has 800 divisors, whose sum is σ = 1667987718144000. Its totient is φ = 114416416097280.

The previous prime is 454568105448713. The next prime is 454568105448799. The reversal of 454568105448720 is 27844501865454.

454568105448720 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 6 + 8 + 1 + 0 + 544 + 87 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88800174321 + ... + 88800179439.

It is an arithmetic number, because the mean of its divisors is an integer number (2084984647680).

Almost surely, 2^{454568105448720} is an apocalyptic number.

454568105448720 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 454568105448720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833993859072000).

454568105448720 is an abundant number, since it is smaller than the sum of its proper divisors (1213419612695280).

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

454568105448720 is a wasteful number, since it uses less digits than its factorization.

454568105448720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673 (or 7658 counting only the distinct ones).

The product of its (nonzero) digits is 172032000, while the sum is 63.

The spelling of 454568105448720 in words is "four hundred fifty-four trillion, five hundred sixty-eight billion, one hundred five million, four hundred forty-eight thousand, seven hundred twenty".