454903187680 has 192 divisors, whose sum is σ = 1163681588160. Its totient is φ = 167414169600.

The previous prime is 454903187647. The next prime is 454903187723. The reversal of 454903187680 is 86781309454.

It is a super-2 number, since 2×454903187680² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29039050 + ... + 29054710.

It is an arithmetic number, because the mean of its divisors is an integer number (6060841605).

Almost surely, 2^454903187680 is an apocalyptic number.

454903187680 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 454903187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581840794080).

454903187680 is an abundant number, since it is smaller than the sum of its proper divisors (708778400480).

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

454903187680 is a wasteful number, since it uses less digits than its factorization.

454903187680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15933 (or 15925 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 454903187680 in words is "four hundred fifty-four billion, nine hundred three million, one hundred eighty-seven thousand, six hundred eighty".