54341214345 has 36 divisors (see below), whose sum is σ = 103532748228. Its totient is φ = 26347252800.

The previous prime is 54341214299. The next prime is 54341214373.

54341214345 is a `hidden beast` number, since 5 + 434 + 1 + 214 + 3 + 4 + 5 = 666.

54341214345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 19540684944 + 34800529401 = 139788^2 + 186549^2 .

It is not a de Polignac number, because 54341214345 - 2¹⁶ = 54341148809 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4984566 + ... + 4995455.

It is an arithmetic number, because the mean of its divisors is an integer number (2875909673).

Almost surely, 2^54341214345 is an apocalyptic number.

54341214345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54341214345 is a deficient number, since it is larger than the sum of its proper divisors (49191533883).

54341214345 is a wasteful number, since it uses less digits than its factorization.

54341214345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9980054 (or 9980040 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 54341214345 in words is "fifty-four billion, three hundred forty-one million, two hundred fourteen thousand, three hundred forty-five".