54166544566145 has 32 divisors (see below), whose sum is σ = 71240272364160. Its totient is φ = 39210050880000.

The previous prime is 54166544566129. The next prime is 54166544566163.

It is a happy number.

54166544566145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54166544566145 - 2⁴ = 54166544566129 is a prime.

It is a super-2 number, since 2×54166544566145² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13807805 + ... + 17291285.

It is an arithmetic number, because the mean of its divisors is an integer number (2226258511380).

Almost surely, 2^{54166544566145} is an apocalyptic number.

54166544566145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54166544566145 is a deficient number, since it is larger than the sum of its proper divisors (17073727798015).

54166544566145 is a wasteful number, since it uses less digits than its factorization.

54166544566145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484817.

The product of its digits is 207360000, while the sum is 62.

The spelling of 54166544566145 in words is "fifty-four trillion, one hundred sixty-six billion, five hundred forty-four million, five hundred sixty-six thousand, one hundred forty-five".