823772384001 has 48 divisors (see below), whose sum is σ = 1361722061440. Its totient is φ = 470089370880.

The previous prime is 823772383937. The next prime is 823772384069. The reversal of 823772384001 is 100483277328.

823772384001 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 7 + 238 + 400 + 1 = 666.

It is not a de Polignac number, because 823772384001 - 2⁶ = 823772383937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (823772384801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 209556006 + ... + 209559936.

Almost surely, 2^823772384001 is an apocalyptic number.

It is an amenable number.

823772384001 is a deficient number, since it is larger than the sum of its proper divisors (537949677439).

823772384001 is a wasteful number, since it uses less digits than its factorization.

823772384001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7606 (or 7603 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 823772384001 in words is "eight hundred twenty-three billion, seven hundred seventy-two million, three hundred eighty-four thousand, one".