10471612032 has 288 divisors, whose sum is σ = 35807728320. Its totient is φ = 2927490048.

The previous prime is 10471612013. The next prime is 10471612061. The reversal of 10471612032 is 23021617401.

10471612032 is a `hidden beast` number, since 1 + 0 + 47 + 1 + 612 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 10471611987 and 10471612005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2651083 + ... + 2655029.

It is an arithmetic number, because the mean of its divisors is an integer number (124332390).

Almost surely, 2^10471612032 is an apocalyptic number.

10471612032 is a gapful number since it is divisible by the number (12) 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 10471612032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17903864160).

10471612032 is an abundant number, since it is smaller than the sum of its proper divisors (25336116288).

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

10471612032 is a wasteful number, since it uses less digits than its factorization.

10471612032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10471612032 in words is "ten billion, four hundred seventy-one million, six hundred twelve thousand, thirty-two".