815148927648 has 480 divisors, whose sum is σ = 2717254330560. Its totient is φ = 238438287360.

The previous prime is 815148927643. The next prime is 815148927689. The reversal of 815148927648 is 846729841518.

815148927648 is a `hidden beast` number, since 8 + 1 + 514 + 8 + 9 + 2 + 76 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (815148927643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 200922036 + ... + 200926092.

It is an arithmetic number, because the mean of its divisors is an integer number (5660946522).

Almost surely, 2^815148927648 is an apocalyptic number.

815148927648 is a gapful number since it is divisible by the number (88) 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 815148927648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358627165280).

815148927648 is an abundant number, since it is smaller than the sum of its proper divisors (1902105402912).

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

815148927648 is an equidigital number, since it uses as much as digits as its factorization.

815148927648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4102 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 815148927648 in words is "eight hundred fifteen billion, one hundred forty-eight million, nine hundred twenty-seven thousand, six hundred forty-eight".