142763505367241 has 64 divisors (see below), whose sum is σ = 168806284588800. Its totient is φ = 120368825280000.

The previous prime is 142763505367213. The next prime is 142763505367243.

It is a happy number.

142763505367241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 142763505367241 - 2¹⁰ = 142763505366217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142763505367243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227008811 + ... + 227636831.

It is an arithmetic number, because the mean of its divisors is an integer number (2637598196700).

Almost surely, 2^{142763505367241} is an apocalyptic number.

142763505367241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142763505367241 is a deficient number, since it is larger than the sum of its proper divisors (26042779221559).

142763505367241 is a wasteful number, since it uses less digits than its factorization.

142763505367241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628263 (or 628241 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 56.

The spelling of 142763505367241 in words is "one hundred forty-two trillion, seven hundred sixty-three billion, five hundred five million, three hundred sixty-seven thousand, two hundred forty-one".