5414200024145 has 48 divisors (see below), whose sum is σ = 7261835744016. Its totient is φ = 3871240665600.

The previous prime is 5414200024117. The next prime is 5414200024183.

5414200024145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 195501928336 + 5218698095809 = 442156^2 + 2284447^2 .

It is not a de Polignac number, because 5414200024145 - 2¹⁸ = 5414199762001 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81637619 + ... + 81703911.

It is an arithmetic number, because the mean of its divisors is an integer number (151288244667).

Almost surely, 2^{5414200024145} is an apocalyptic number.

5414200024145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5414200024145 is a deficient number, since it is larger than the sum of its proper divisors (1847635719871).

5414200024145 is a wasteful number, since it uses less digits than its factorization.

5414200024145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68594 (or 68583 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

It can be divided in two parts, 54142000 and 24145, that added together give a palindrome (54166145).

The spelling of 5414200024145 in words is "five trillion, four hundred fourteen billion, two hundred million, twenty-four thousand, one hundred forty-five".