10162155460041 has 24 divisors (see below), whose sum is σ = 15861748962696. Its totient is φ = 6232290647040.

The previous prime is 10162155460031. The next prime is 10162155460057. The reversal of 10162155460041 is 14006455126101.

10162155460041 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 2 + 1 + 5 + 5 + 4 + 600 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66100410000 + 10096055050041 = 257100^2 + 3177429^2 .

It is not a de Polignac number, because 10162155460041 - 2¹⁸ = 10162155197897 is a prime.

It is a super-2 number, since 2×10162155460041² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10162155459978 and 10162155460005.

It is not an unprimeable number, because it can be changed into a prime (10162155460021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148184200 + ... + 148252761.

It is an arithmetic number, because the mean of its divisors is an integer number (660906206779).

Almost surely, 2^{10162155460041} is an apocalyptic number.

It is an amenable number.

10162155460041 is a deficient number, since it is larger than the sum of its proper divisors (5699593502655).

10162155460041 is a wasteful number, since it uses less digits than its factorization.

10162155460041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296437273 (or 296437270 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10162155460041 in words is "ten trillion, one hundred sixty-two billion, one hundred fifty-five million, four hundred sixty thousand, forty-one".