10496224032 has 96 divisors (see below), whose sum is σ = 32504500224. Its totient is φ = 2902176000.

The previous prime is 10496224007. The next prime is 10496224049. The reversal of 10496224032 is 23042269401.

10496224032 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 (96).

It is a super-2 number, since 2×10496224032² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10496223984 and 10496224002.

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 15 ways as a sum of consecutive naturals, for example, 231094 + ... + 272757.

It is an arithmetic number, because the mean of its divisors is an integer number (338588544).

Almost surely, 2^10496224032 is an apocalyptic number.

10496224032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10496224032 is an abundant number, since it is smaller than the sum of its proper divisors (22008276192).

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

10496224032 is a wasteful number, since it uses less digits than its factorization.

10496224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503902 (or 503894 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 10496224032 in words is "ten billion, four hundred ninety-six million, two hundred twenty-four thousand, thirty-two".