10434949056 has 168 divisors, whose sum is σ = 34881007200. Its totient is φ = 2981357568.

The previous prime is 10434949039. The next prime is 10434949069. The reversal of 10434949056 is 65094943401.

10434949056 is a `hidden beast` number, since 104 + 3 + 4 + 9 + 490 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10434949056² (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 171160 + ... + 223976.

Almost surely, 2^10434949056 is an apocalyptic number.

10434949056 is a gapful number since it is divisible by the number (16) 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 10434949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17440503600).

10434949056 is an abundant number, since it is smaller than the sum of its proper divisors (24446058144).

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

10434949056 is an equidigital number, since it uses as much as digits as its factorization.

10434949056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52856 (or 52829 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10434949056 in words is "ten billion, four hundred thirty-four million, nine hundred forty-nine thousand, fifty-six".