811901915136 has 585 divisors, whose sum is σ = 2680567157229. Its totient is φ = 236667764736.

The previous prime is 811901915119. The next prime is 811901915137. The reversal of 811901915136 is 631519109118.

It is a happy number.

The square root of 811901915136 is 901056.

It is a perfect power (a square), and thus also a powerful number.

811901915136 is a `hidden beast` number, since 8 + 119 + 0 + 19 + 1 + 513 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120103833600 + 691798081536 = 346560^2 + 831744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 811901915091 and 811901915100.

It is not an unprimeable number, because it can be changed into a prime (811901915137) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 42731679735 + ... + 42731679753.

Almost surely, 2^811901915136 is an apocalyptic number.

811901915136 is the 901056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811901915136

811901915136 is an abundant number, since it is smaller than the sum of its proper divisors (1868665242093).

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

811901915136 is an frugal number, since it uses more digits than its factorization.

811901915136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 811901915136 in words is "eight hundred eleven billion, nine hundred one million, nine hundred fifteen thousand, one hundred thirty-six".