10714954432 has 224 divisors, whose sum is σ = 27987369984. Its totient is φ = 3953664000.

The previous prime is 10714954379. The next prime is 10714954433. The reversal of 10714954432 is 23445941701.

10714954432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10714954432² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10714954433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5491057 + ... + 5493007.

It is an arithmetic number, because the mean of its divisors is an integer number (124943616).

Almost surely, 2^10714954432 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 10714954432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13993684992).

10714954432 is an abundant number, since it is smaller than the sum of its proper divisors (17272415552).

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

10714954432 is a wasteful number, since it uses less digits than its factorization.

10714954432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 10714954432 in words is "ten billion, seven hundred fourteen million, nine hundred fifty-four thousand, four hundred thirty-two".