162954459261 has 32 divisors (see below), whose sum is σ = 265128336000. Its totient is φ = 98097431040.

The previous prime is 162954459223. The next prime is 162954459277.

It is a happy number.

162954459261 is a `hidden beast` number, since 1 + 6 + 2 + 9 + 5 + 44 + 592 + 6 + 1 = 666.

162954459261 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 162954459261 - 2¹¹ = 162954457213 is a prime.

It is a super-2 number, since 2×162954459261² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 162954459198 and 162954459207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162954459281) 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 31 ways as a sum of consecutive naturals, for example, 1796916 + ... + 1885421.

It is an arithmetic number, because the mean of its divisors is an integer number (8285260500).

Almost surely, 2^162954459261 is an apocalyptic number.

162954459261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

162954459261 is a deficient number, since it is larger than the sum of its proper divisors (102173876739).

162954459261 is a wasteful number, since it uses less digits than its factorization.

162954459261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682506 (or 3682500 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 162954459261 in words is "one hundred sixty-two billion, nine hundred fifty-four million, four hundred fifty-nine thousand, two hundred sixty-one".