8454965561280 has 784 divisors, whose sum is σ = 35013953157120. Its totient is φ = 1903694690304.

The previous prime is 8454965561261. The next prime is 8454965561309. The reversal of 8454965561280 is 821655694548.

8454965561280 is a `hidden beast` number, since 8 + 4 + 5 + 4 + 9 + 6 + 5 + 5 + 612 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 109369681 + ... + 109446959.

Almost surely, 2^{8454965561280} is an apocalyptic number.

8454965561280 is a gapful number since it is divisible by the number (80) 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 8454965561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17506976578560).

8454965561280 is an abundant number, since it is smaller than the sum of its proper divisors (26558987595840).

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

8454965561280 is an equidigital number, since it uses as much as digits as its factorization.

8454965561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77388 (or 77363 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 8454965561280 in words is "eight trillion, four hundred fifty-four billion, nine hundred sixty-five million, five hundred sixty-one thousand, two hundred eighty".