453131311968 has 480 divisors, whose sum is σ = 1391020646400. Its totient is φ = 144610292736.

The previous prime is 453131311967. The next prime is 453131311991. The reversal of 453131311968 is 869113131354.

453131311968 is a `hidden beast` number, since 4 + 531 + 3 + 13 + 11 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453131311967) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1895946793 + ... + 1895947031.

It is an arithmetic number, because the mean of its divisors is an integer number (2897959680).

Almost surely, 2^453131311968 is an apocalyptic number.

453131311968 is a gapful number since it is divisible by the number (48) 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 453131311968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695510323200).

453131311968 is an abundant number, since it is smaller than the sum of its proper divisors (937889334432).

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

453131311968 is a wasteful number, since it uses less digits than its factorization.

453131311968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 567 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 453131311968 in words is "four hundred fifty-three billion, one hundred thirty-one million, three hundred eleven thousand, nine hundred sixty-eight".