161054461125 has 96 divisors (see below), whose sum is σ = 305954917632. Its totient is φ = 81346320000.

The previous prime is 161054461123. The next prime is 161054461163. The reversal of 161054461125 is 521164450161.

161054461125 is a `hidden beast` number, since 1 + 6 + 10 + 5 + 4 + 4 + 611 + 25 = 666.

161054461125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 161054461125 - 2¹ = 161054461123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 161054461125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161054461123) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2582562 + ... + 2644188.

It is an arithmetic number, because the mean of its divisors is an integer number (3187030392).

Almost surely, 2^161054461125 is an apocalyptic number.

161054461125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

161054461125 is a deficient number, since it is larger than the sum of its proper divisors (144900456507).

161054461125 is a wasteful number, since it uses less digits than its factorization.

161054461125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61772 (or 61759 counting only the distinct ones).

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

The spelling of 161054461125 in words is "one hundred sixty-one billion, fifty-four million, four hundred sixty-one thousand, one hundred twenty-five".