453966824263680 has 9984 divisors, whose sum is σ = 2336029374873600. Its totient is φ = 81088814776320.

The previous prime is 453966824263651. The next prime is 453966824263681. The reversal of 453966824263680 is 86362428669354.

453966824263680 is a `hidden beast` number, since 4 + 5 + 3 + 9 + 66 + 82 + 426 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9984).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 453966824263599 and 453966824263608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453966824263681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 8565411778534 + ... + 8565411778586.

Almost surely, 2^{453966824263680} is an apocalyptic number.

453966824263680 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 453966824263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168014687436800).

453966824263680 is an abundant number, since it is smaller than the sum of its proper divisors (1882062550609920).

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

453966824263680 is a wasteful number, since it uses less digits than its factorization.

453966824263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2149908480, while the sum is 72.

The spelling of 453966824263680 in words is "four hundred fifty-three trillion, nine hundred sixty-six billion, eight hundred twenty-four million, two hundred sixty-three thousand, six hundred eighty".