815311478916 has 81 divisors (see below), whose sum is σ = 2265481210629. Its totient is φ = 247046025600.

The previous prime is 815311478851. The next prime is 815311478923. The reversal of 815311478916 is 619874113518.

The square root of 815311478916 is 902946.

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

815311478916 is a `hidden beast` number, since 8 + 1 + 531 + 14 + 7 + 8 + 91 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 762558576516 + 52752902400 = 873246^2 + 229680^2 .

It is a super-2 number, since 2×815311478916² (a number of 25 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 59587596 + ... + 59601276.

Almost surely, 2^815311478916 is an apocalyptic number.

815311478916 is the 902946-th square number.

It is an amenable number.

815311478916 is an abundant number, since it is smaller than the sum of its proper divisors (1450169731713).

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

815311478916 is a wasteful number, since it uses less digits than its factorization.

815311478916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27394 (or 13697 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 815311478916 in words is "eight hundred fifteen billion, three hundred eleven million, four hundred seventy-eight thousand, nine hundred sixteen".