10228112252163 has 48 divisors (see below), whose sum is σ = 15981697236960. Its totient is φ = 6266051827200.

The previous prime is 10228112252119. The next prime is 10228112252221. The reversal of 10228112252163 is 36125221182201.

10228112252163 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 8 + 1 + 122 + 521 + 6 + 3 = 666.

It is a Cunningham number, because it is equal to 3198142²-1.

It is not a de Polignac number, because 10228112252163 - 2¹³ = 10228112243971 is a prime.

It is a super-2 number, since 2×10228112252163² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10228112252663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41452828 + ... + 41698838.

It is an arithmetic number, because the mean of its divisors is an integer number (332952025770).

Almost surely, 2^{10228112252163} is an apocalyptic number.

10228112252163 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10228112252163 is a deficient number, since it is larger than the sum of its proper divisors (5753584984797).

10228112252163 is a wasteful number, since it uses less digits than its factorization.

10228112252163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247620 (or 247617 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10228112252163 in words is "ten trillion, two hundred twenty-eight billion, one hundred twelve million, two hundred fifty-two thousand, one hundred sixty-three".