814036148352 has 1280 divisors, whose sum is σ = 3052127232000. Its totient is φ = 210153553920.

The previous prime is 814036148329. The next prime is 814036148363. The reversal of 814036148352 is 253841630418.

814036148352 is a `hidden beast` number, since 81 + 40 + 3 + 6 + 1 + 483 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 814036148298 and 814036148307.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5856375099 + ... + 5856375237.

It is an arithmetic number, because the mean of its divisors is an integer number (2384474400).

Almost surely, 2^814036148352 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 814036148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526063616000).

814036148352 is an abundant number, since it is smaller than the sum of its proper divisors (2238091083648).

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

814036148352 is a wasteful number, since it uses less digits than its factorization.

814036148352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 814036148352 in words is "eight hundred fourteen billion, thirty-six million, one hundred forty-eight thousand, three hundred fifty-two".