454546240056 has 320 divisors, whose sum is σ = 1334044689120. Its totient is φ = 144466882560.

The previous prime is 454546239991. The next prime is 454546240073. The reversal of 454546240056 is 650042645454.

454546240056 is a `hidden beast` number, since 4 + 54 + 546 + 2 + 4 + 0 + 0 + 56 = 666.

It is a super-2 number, since 2×454546240056² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 454546239993 and 454546240020.

It is a congruent number.

It is an unprimeable number.

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, 344091876 + ... + 344093196.

Almost surely, 2^454546240056 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 454546240056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667022344560).

454546240056 is an abundant number, since it is smaller than the sum of its proper divisors (879498449064).

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

454546240056 is a wasteful number, since it uses less digits than its factorization.

454546240056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 454546240056 in words is "four hundred fifty-four billion, five hundred forty-six million, two hundred forty thousand, fifty-six".