54346633664345 has 32 divisors (see below), whose sum is σ = 76453988939136. Its totient is φ = 36644613350400.

The previous prime is 54346633664333. The next prime is 54346633664377.

54346633664345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54346633664345 - 2⁴ = 54346633664329 is a prime.

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, 433704086 + ... + 433829375.

It is an arithmetic number, because the mean of its divisors is an integer number (2389187154348).

Almost surely, 2^{54346633664345} is an apocalyptic number.

54346633664345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54346633664345 is a deficient number, since it is larger than the sum of its proper divisors (22107355274791).

54346633664345 is a wasteful number, since it uses less digits than its factorization.

54346633664345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867533561.

The product of its digits is 671846400, while the sum is 62.

The spelling of 54346633664345 in words is "fifty-four trillion, three hundred forty-six billion, six hundred thirty-three million, six hundred sixty-four thousand, three hundred forty-five".