814252949076560 has 160 divisors (see below), whose sum is σ = 2233480082030592. Its totient is φ = 270154712056320.

The previous prime is 814252949076559. The next prime is 814252949076563. The reversal of 814252949076560 is 65670949252418.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814252949076563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388635149 + ... + 390724691.

Almost surely, 2^{814252949076560} is an apocalyptic number.

814252949076560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814252949076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116740041015296).

814252949076560 is an abundant number, since it is smaller than the sum of its proper divisors (1419227132954032).

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

814252949076560 is a wasteful number, since it uses less digits than its factorization.

814252949076560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112041 (or 2112035 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 68.

The spelling of 814252949076560 in words is "eight hundred fourteen trillion, two hundred fifty-two billion, nine hundred forty-nine million, seventy-six thousand, five hundred sixty".