453742043302656 has 1728 divisors, whose sum is σ = 1546409217225600. Its totient is φ = 126957436010496.

The previous prime is 453742043302649. The next prime is 453742043302703. The reversal of 453742043302656 is 656203340247354.

453742043302656 is a `hidden beast` number, since 4 + 5 + 3 + 7 + 42 + 0 + 4 + 330 + 265 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 197881395846 + ... + 197881398138.

It is an arithmetic number, because the mean of its divisors is an integer number (894912741450).

Almost surely, 2^{453742043302656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453742043302656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773204608612800).

453742043302656 is an abundant number, since it is smaller than the sum of its proper divisors (1092667173922944).

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

453742043302656 is a wasteful number, since it uses less digits than its factorization.

453742043302656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 54.

The spelling of 453742043302656 in words is "four hundred fifty-three trillion, seven hundred forty-two billion, forty-three million, three hundred two thousand, six hundred fifty-six".