454429543680 has 540 divisors, whose sum is σ = 1891527768900. Its totient is φ = 103868448768.

The previous prime is 454429543643. The next prime is 454429543721. The reversal of 454429543680 is 86345924454.

454429543680 is a `hidden beast` number, since 4 + 5 + 4 + 42 + 95 + 436 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 281120523264 + 173309020416 = 530208^2 + 416304^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5035596 + ... + 5125044.

Almost surely, 2^454429543680 is an apocalyptic number.

454429543680 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 454429543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945763884450).

454429543680 is an abundant number, since it is smaller than the sum of its proper divisors (1437098225220).

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

454429543680 is an equidigital number, since it uses as much as digits as its factorization.

454429543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89496 (or 89466 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 454429543680 in words is "four hundred fifty-four billion, four hundred twenty-nine million, five hundred forty-three thousand, six hundred eighty".