10162849356 has 240 divisors, whose sum is σ = 31218929280. Its totient is φ = 2848366080.

The previous prime is 10162849327. The next prime is 10162849357. The reversal of 10162849356 is 65394826101.

10162849356 is a `hidden beast` number, since 1 + 0 + 16 + 284 + 9 + 356 = 666.

It is a super-2 number, since 2×10162849356² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10162849357) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3573271 + ... + 3576113.

It is an arithmetic number, because the mean of its divisors is an integer number (130078872).

Almost surely, 2^10162849356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10162849356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15609464640).

10162849356 is an abundant number, since it is smaller than the sum of its proper divisors (21056079924).

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

10162849356 is a wasteful number, since it uses less digits than its factorization.

10162849356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10162849356 in words is "ten billion, one hundred sixty-two million, eight hundred forty-nine thousand, three hundred fifty-six".