454109597760 has 1344 divisors, whose sum is σ = 1936697444352. Its totient is φ = 87917985792.

The previous prime is 454109597741. The next prime is 454109597761. The reversal of 454109597760 is 67795901454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×454109597760³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 454109597760.

It is not an unprimeable number, because it can be changed into a prime (454109597761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 830181807 + ... + 830182353.

Almost surely, 2^454109597760 is an apocalyptic number.

454109597760 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 454109597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968348722176).

454109597760 is an abundant number, since it is smaller than the sum of its proper divisors (1482587846592).

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

454109597760 is a wasteful number, since it uses less digits than its factorization.

454109597760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 57.

The spelling of 454109597760 in words is "four hundred fifty-four billion, one hundred nine million, five hundred ninety-seven thousand, seven hundred sixty".