5437214127345 has 192 divisors, whose sum is σ = 11778863040000. Its totient is φ = 2084055367680.

The previous prime is 5437214127283. The next prime is 5437214127361.

5437214127345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5437214127345 - 2⁶ = 5437214127281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5437214127294 and 5437214127303.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 206277907 + ... + 206304263.

It is an arithmetic number, because the mean of its divisors is an integer number (61348245000).

Almost surely, 2^{5437214127345} is an apocalyptic number.

5437214127345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5437214127345 is an abundant number, since it is smaller than the sum of its proper divisors (6341648912655).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5437214127345 is a wasteful number, since it uses less digits than its factorization.

5437214127345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27656 (or 27645 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The spelling of 5437214127345 in words is "five trillion, four hundred thirty-seven billion, two hundred fourteen million, one hundred twenty-seven thousand, three hundred forty-five".