814148928000 has 640 divisors, whose sum is σ = 3077826935040. Its totient is φ = 212038041600.

The previous prime is 814148927951. The next prime is 814148928013. The reversal of 814148928000 is 829841418.

814148928000 is a `hidden beast` number, since 8 + 141 + 489 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74298522 + ... + 74309478.

It is an arithmetic number, because the mean of its divisors is an integer number (4809104586).

Almost surely, 2^814148928000 is an apocalyptic number.

814148928000 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 814148928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538913467520).

814148928000 is an abundant number, since it is smaller than the sum of its proper divisors (2263678007040).

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

814148928000 is a wasteful number, since it uses less digits than its factorization.

814148928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11042 (or 11010 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 814148928000 in words is "eight hundred fourteen billion, one hundred forty-eight million, nine hundred twenty-eight thousand".