454946289336 has 896 divisors, whose sum is σ = 1704366489600. Its totient is φ = 110224800000.

The previous prime is 454946289289. The next prime is 454946289359. The reversal of 454946289336 is 633982649454.

454946289336 is a `hidden beast` number, since 4 + 5 + 494 + 6 + 28 + 93 + 36 = 666.

It is a super-2 number, since 2×454946289336² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (134369280) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 605786961 + ... + 605787711.

Almost surely, 2^454946289336 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 454946289336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852183244800).

454946289336 is an abundant number, since it is smaller than the sum of its proper divisors (1249420200264).

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

454946289336 is a wasteful number, since it uses less digits than its factorization.

454946289336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 864 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 63.

The spelling of 454946289336 in words is "four hundred fifty-four billion, nine hundred forty-six million, two hundred eighty-nine thousand, three hundred thirty-six".