454945144308480 has 864 divisors, whose sum is σ = 1858885266760704. Its totient is φ = 100556164399104.

The previous prime is 454945144308463. The next prime is 454945144308511. The reversal of 454945144308480 is 84803441549454.

It is a happy number.

454945144308480 is a `hidden beast` number, since 4 + 5 + 4 + 9 + 4 + 5 + 144 + 3 + 0 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 485872117 + ... + 486807563.

Almost surely, 2^{454945144308480} is an apocalyptic number.

454945144308480 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 454945144308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929442633380352).

454945144308480 is an abundant number, since it is smaller than the sum of its proper divisors (1403940122452224).

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

454945144308480 is a wasteful number, since it uses less digits than its factorization.

454945144308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935681 (or 935664 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 63.

The spelling of 454945144308480 in words is "four hundred fifty-four trillion, nine hundred forty-five billion, one hundred forty-four million, three hundred eight thousand, four hundred eighty".