423654004008 has 96 divisors (see below), whose sum is σ = 1175690716200. Its totient is φ = 137737420800.

The previous prime is 423654003977. The next prime is 423654004009. The reversal of 423654004008 is 800400456324.

423654004008 is a `hidden beast` number, since 42 + 36 + 540 + 0 + 40 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 358037083044 + 65616920964 = 598362^2 + 256158^2 .

It is a super-2 number, since 2×423654004008² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (423654004009) 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 23 ways as a sum of consecutive naturals, for example, 12644398 + ... + 12677858.

Almost surely, 2^423654004008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423654004008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587845358100).

423654004008 is an abundant number, since it is smaller than the sum of its proper divisors (752036712192).

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

423654004008 is a wasteful number, since it uses less digits than its factorization.

423654004008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37803 (or 37796 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 423654004008 in words is "four hundred twenty-three billion, six hundred fifty-four million, four thousand, eight".