54164660193 has 96 divisors (see below), whose sum is σ = 95103590400. Its totient is φ = 29051308800.

The previous prime is 54164660167. The next prime is 54164660287. The reversal of 54164660193 is 39106646145.

54164660193 is a `hidden beast` number, since 5 + 416 + 46 + 6 + 0 + 193 = 666.

It is not a de Polignac number, because 54164660193 - 2¹⁰ = 54164659169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54164640193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14331178 + ... + 14334956.

It is an arithmetic number, because the mean of its divisors is an integer number (990662400).

Almost surely, 2^54164660193 is an apocalyptic number.

It is an amenable number.

54164660193 is a deficient number, since it is larger than the sum of its proper divisors (40938930207).

54164660193 is a wasteful number, since it uses less digits than its factorization.

54164660193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 54164660193 in words is "fifty-four billion, one hundred sixty-four million, six hundred sixty thousand, one hundred ninety-three".