815936601676816 has 45 divisors (see below), whose sum is σ = 1582328728828029. Its totient is φ = 407594047396800.

The previous prime is 815936601676759. The next prime is 815936601676829. The reversal of 815936601676816 is 618676106639518.

The square root of 815936601676816 is 28564604.

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

It can be written as a sum of positive squares in only one way, i.e., 370824500294416 + 445112101382400 = 19256804^2 + 21097680^2 .

It is a super-2 number, since 2×815936601676816² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 157790869911 + ... + 157790875081.

Almost surely, 2^{815936601676816} is an apocalyptic number.

815936601676816 is the 28564604-th square number.

It is an amenable number.

815936601676816 is a deficient number, since it is larger than the sum of its proper divisors (766392127151213).

815936601676816 is an frugal number, since it uses more digits than its factorization.

815936601676816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13112 (or 6554 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 73.

The spelling of 815936601676816 in words is "eight hundred fifteen trillion, nine hundred thirty-six billion, six hundred one million, six hundred seventy-six thousand, eight hundred sixteen".