815325349152 has 192 divisors, whose sum is σ = 2372146124544. Its totient is φ = 243891732480.

The previous prime is 815325349123. The next prime is 815325349193. The reversal of 815325349152 is 251943523518.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11864652 + ... + 11933172.

It is an arithmetic number, because the mean of its divisors is an integer number (12354927732).

Almost surely, 2^815325349152 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 815325349152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186073062272).

815325349152 is an abundant number, since it is smaller than the sum of its proper divisors (1556820775392).

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

815325349152 is a wasteful number, since it uses less digits than its factorization.

815325349152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68891 (or 68883 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The spelling of 815325349152 in words is "eight hundred fifteen billion, three hundred twenty-five million, three hundred forty-nine thousand, one hundred fifty-two".