814253948928 has 420 divisors, whose sum is σ = 2790652671520. Its totient is φ = 232620097536.

The previous prime is 814253948923. The next prime is 814253948939. The reversal of 814253948928 is 829849352418.

814253948928 is a `hidden beast` number, since 8 + 1 + 4 + 2 + 539 + 4 + 8 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814253948923) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 83602683 + ... + 83612421.

Almost surely, 2^814253948928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814253948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395326335760).

814253948928 is an abundant number, since it is smaller than the sum of its proper divisors (1976398722592).

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

814253948928 is an frugal number, since it uses more digits than its factorization.

814253948928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9792 (or 9751 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 814253948928 in words is "eight hundred fourteen billion, two hundred fifty-three million, nine hundred forty-eight thousand, nine hundred twenty-eight".