816386011344 has 120 divisors (see below), whose sum is σ = 2402948201472. Its totient is φ = 258381377280.

The previous prime is 816386011339. The next prime is 816386011373. The reversal of 816386011344 is 443110683618.

816386011344 is a `hidden beast` number, since 8 + 1 + 6 + 3 + 8 + 601 + 1 + 34 + 4 = 666.

It is a super-2 number, since 2×816386011344² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 816386011344.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1488712 + ... + 1961895.

Almost surely, 2^816386011344 is an apocalyptic number.

It is an amenable number.

816386011344 is an abundant number, since it is smaller than the sum of its proper divisors (1586562190128).

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

816386011344 is a wasteful number, since it uses less digits than its factorization.

816386011344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450705 (or 3450696 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 816386011344 in words is "eight hundred sixteen billion, three hundred eighty-six million, eleven thousand, three hundred forty-four".