452491318656 has 576 divisors, whose sum is σ = 1487978856000. Its totient is φ = 136774490112.

The previous prime is 452491318649. The next prime is 452491318661. The reversal of 452491318656 is 656813194254.

452491318656 is a `hidden beast` number, since 4 + 524 + 9 + 1 + 31 + 86 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

Its product of digits (6220800) is a multiple of the sum of its prime divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 310137255 + ... + 310138713.

It is an arithmetic number, because the mean of its divisors is an integer number (2583296625).

Almost surely, 2^452491318656 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 452491318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743989428000).

452491318656 is an abundant number, since it is smaller than the sum of its proper divisors (1035487537344).

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

452491318656 is a wasteful number, since it uses less digits than its factorization.

452491318656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1536 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 452491318656 in words is "four hundred fifty-two billion, four hundred ninety-one million, three hundred eighteen thousand, six hundred fifty-six".