454566344100 has 288 divisors, whose sum is σ = 1459067613696. Its totient is φ = 108338841600.

The previous prime is 454566344059. The next prime is 454566344101. The reversal of 454566344100 is 1443665454.

It is a super-2 number, since 2×454566344100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (454566344101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131110567 + ... + 131114033.

It is an arithmetic number, because the mean of its divisors is an integer number (5066206992).

Almost surely, 2^454566344100 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 454566344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729533806848).

454566344100 is an abundant number, since it is smaller than the sum of its proper divisors (1004501269596).

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

454566344100 is a wasteful number, since it uses less digits than its factorization.

454566344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 454566344100 in words is "four hundred fifty-four billion, five hundred sixty-six million, three hundred forty-four thousand, one hundred".