454434023736 has 512 divisors, whose sum is σ = 1695242649600. Its totient is φ = 109257984000.

The previous prime is 454434023711. The next prime is 454434023783. The reversal of 454434023736 is 637320434454.

454434023736 is a `hidden beast` number, since 4 + 5 + 44 + 340 + 237 + 36 = 666.

It is a super-2 number, since 2×454434023736² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 454434023691 and 454434023700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11839456 + ... + 11877776.

It is an arithmetic number, because the mean of its divisors is an integer number (3311020800).

Almost surely, 2^454434023736 is an apocalyptic number.

454434023736 is a gapful number since it is divisible by the number (46) 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 454434023736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847621324800).

454434023736 is an abundant number, since it is smaller than the sum of its proper divisors (1240808625864).

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

454434023736 is a wasteful number, since it uses less digits than its factorization.

454434023736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38408 (or 38398 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 45.

The spelling of 454434023736 in words is "four hundred fifty-four billion, four hundred thirty-four million, twenty-three thousand, seven hundred thirty-six".