54340433404345 has 96 divisors (see below), whose sum is σ = 77275470182400. Its totient is φ = 36537969029760.

The previous prime is 54340433404333. The next prime is 54340433404349.

54340433404345 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-54340433404345 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54340433404295 and 54340433404304.

It is not an unprimeable number, because it can be changed into a prime (54340433404349) 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, 187327026 + ... + 187616884.

It is an arithmetic number, because the mean of its divisors is an integer number (804952814400).

Almost surely, 2^{54340433404345} is an apocalyptic number.

54340433404345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54340433404345 is a deficient number, since it is larger than the sum of its proper divisors (22935036778055).

54340433404345 is a wasteful number, since it uses less digits than its factorization.

54340433404345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290299 (or 290288 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 46.

It can be divided in two parts, 5434043 and 3404345, that added together give a palindrome (8838388).

The spelling of 54340433404345 in words is "fifty-four trillion, three hundred forty billion, four hundred thirty-three million, four hundred four thousand, three hundred forty-five".