811901452752 has 480 divisors, whose sum is σ = 2667181372800. Its totient is φ = 235701633024.

The previous prime is 811901452717. The next prime is 811901452753. The reversal of 811901452752 is 257254109118.

811901452752 is a `hidden beast` number, since 8 + 1 + 190 + 1 + 452 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 811901452698 and 811901452707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811901452753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384240048 + ... + 384242160.

It is an arithmetic number, because the mean of its divisors is an integer number (5556627860).

Almost surely, 2^811901452752 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 811901452752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333590686400).

811901452752 is an abundant number, since it is smaller than the sum of its proper divisors (1855279920048).

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

811901452752 is a wasteful number, since it uses less digits than its factorization.

811901452752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 811901452752 in words is "eight hundred eleven billion, nine hundred one million, four hundred fifty-two thousand, seven hundred fifty-two".