454514545760 has 144 divisors (see below), whose sum is σ = 1181476806048. Its totient is φ = 165110753280.

The previous prime is 454514545741. The next prime is 454514545763. The reversal of 454514545760 is 67545415454.

It is a junction number, because it is equal to n+sod(n) for n = 454514545699 and 454514545708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454514545763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19987517 + ... + 20010243.

It is an arithmetic number, because the mean of its divisors is an integer number (8204700042).

Almost surely, 2^454514545760 is an apocalyptic number.

454514545760 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 454514545760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590738403024).

454514545760 is an abundant number, since it is smaller than the sum of its proper divisors (726962260288).

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

454514545760 is a wasteful number, since it uses less digits than its factorization.

454514545760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23797 (or 23778 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 50.

The spelling of 454514545760 in words is "four hundred fifty-four billion, five hundred fourteen million, five hundred forty-five thousand, seven hundred sixty".