454019916100 has 81 divisors (see below), whose sum is σ = 1009312331517. Its totient is φ = 177271325280.

The previous prime is 454019916067. The next prime is 454019916107. The reversal of 454019916100 is 1619910454.

The square root of 454019916100 is 673810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 163447169796 + 290572746304 = 404286^2 + 539048^2 .

It is a super-2 number, since 2×454019916100² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (454019916107) 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 26 ways as a sum of consecutive naturals, for example, 289737517 + ... + 289739083.

Almost surely, 2^454019916100 is an apocalyptic number.

454019916100 is the 673810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454019916100

454019916100 is an abundant number, since it is smaller than the sum of its proper divisors (555292415417).

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

454019916100 is an equidigital number, since it uses as much as digits as its factorization.

454019916100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 454019916100 in words is "four hundred fifty-four billion, nineteen million, nine hundred sixteen thousand, one hundred".