816344033505 has 256 divisors, whose sum is σ = 1872288940032. Its totient is φ = 294730444800.

The previous prime is 816344033459. The next prime is 816344033551. The reversal of 816344033505 is 505330443618.

816344033505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (816344033459) and next prime (816344033551).

It is not a de Polignac number, because 816344033505 - 2⁶ = 816344033441 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30872640 + ... + 30899070.

It is an arithmetic number, because the mean of its divisors is an integer number (7313628672).

Almost surely, 2^816344033505 is an apocalyptic number.

816344033505 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

816344033505 is an abundant number, since it is smaller than the sum of its proper divisors (1055944906527).

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

816344033505 is a wasteful number, since it uses less digits than its factorization.

816344033505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26509 (or 26487 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 816344033505 in words is "eight hundred sixteen billion, three hundred forty-four million, thirty-three thousand, five hundred five".