816349711905 has 384 divisors, whose sum is σ = 1916865699840. Its totient is φ = 323859824640.

The previous prime is 816349711781. The next prime is 816349711949. The reversal of 816349711905 is 509117943618.

816349711905 is a `hidden beast` number, since 8 + 1 + 63 + 497 + 1 + 1 + 90 + 5 = 666.

It is not a de Polignac number, because 816349711905 - 2¹² = 816349707809 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 150033985 + ... + 150039425.

It is an arithmetic number, because the mean of its divisors is an integer number (4991837760).

Almost surely, 2^816349711905 is an apocalyptic number.

It is an amenable number.

816349711905 is an abundant number, since it is smaller than the sum of its proper divisors (1100515987935).

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

816349711905 is a wasteful number, since it uses less digits than its factorization.

816349711905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5551 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 816349711905 in words is "eight hundred sixteen billion, three hundred forty-nine million, seven hundred eleven thousand, nine hundred five".