10228472711352 has 72 divisors (see below), whose sum is σ = 32224907660400. Its totient is φ = 2922420773664.

The previous prime is 10228472711333. The next prime is 10228472711377. The reversal of 10228472711352 is 25311727482201.

10228472711352 is a `hidden beast` number, since 1 + 0 + 2 + 28 + 4 + 7 + 271 + 1 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 10228472711298 and 10228472711307.

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 17 ways as a sum of consecutive naturals, for example, 1449609952 + ... + 1449617007.

It is an arithmetic number, because the mean of its divisors is an integer number (447568161950).

Almost surely, 2^{10228472711352} is an apocalyptic number.

10228472711352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10228472711352 is an abundant number, since it is smaller than the sum of its proper divisors (21996434949048).

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

10228472711352 is a wasteful number, since it uses less digits than its factorization.

10228472711352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899226985 (or 2899226971 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10228472711352 in words is "ten trillion, two hundred twenty-eight billion, four hundred seventy-two million, seven hundred eleven thousand, three hundred fifty-two".