816101433 has 128 divisors (see below), whose sum is σ = 1561190400. Its totient is φ = 410572800.

The previous prime is 816101399. The next prime is 816101437. The reversal of 816101433 is 334101618.

816101433 is a `hidden beast` number, since 8 + 1 + 610 + 1 + 43 + 3 = 666.

It is not a de Polignac number, because 816101433 - 2⁸ = 816101177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 816101397 and 816101406.

It is not an unprimeable number, because it can be changed into a prime (816101437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3386193 + ... + 3386433.

It is an arithmetic number, because the mean of its divisors is an integer number (12196800).

Almost surely, 2^816101433 is an apocalyptic number.

It is an amenable number.

816101433 is a deficient number, since it is larger than the sum of its proper divisors (745088967).

816101433 is a wasteful number, since it uses less digits than its factorization.

816101433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 816101433 is about 28567.4890916230. The cubic root of 816101433 is about 934.5044637008.

The spelling of 816101433 in words is "eight hundred sixteen million, one hundred one thousand, four hundred thirty-three".