10185274224 has 30 divisors (see below), whose sum is σ = 28504622016. Its totient is φ = 3395091360.

The previous prime is 10185274217. The next prime is 10185274241. The reversal of 10185274224 is 42247258101.

10185274224 is a `hidden beast` number, since 101 + 8 + 527 + 4 + 2 + 24 = 666.

It is a super-2 number, since 2×10185274224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 35365392 + ... + 35365679.

Almost surely, 2^10185274224 is an apocalyptic number.

It is an amenable number.

10185274224 is an abundant number, since it is smaller than the sum of its proper divisors (18319347792).

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

10185274224 is a wasteful number, since it uses less digits than its factorization.

10185274224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70731085 (or 70731076 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 10185274224 in words is "ten billion, one hundred eighty-five million, two hundred seventy-four thousand, two hundred twenty-four".