814007340133 has 16 divisors (see below), whose sum is σ = 887268545856. Its totient is φ = 742268592000.

The previous prime is 814007340119. The next prime is 814007340143. The reversal of 814007340133 is 331043700418.

It is a de Polignac number, because none of the positive numbers 2^k-814007340133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814007340143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13999066 + ... + 14057092.

It is an arithmetic number, because the mean of its divisors is an integer number (55454284116).

Almost surely, 2^814007340133 is an apocalyptic number.

814007340133 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

814007340133 is a deficient number, since it is larger than the sum of its proper divisors (73261205723).

814007340133 is a wasteful number, since it uses less digits than its factorization.

814007340133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71124.

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 814007340133 in words is "eight hundred fourteen billion, seven million, three hundred forty thousand, one hundred thirty-three".