423815401046016 has 1152 divisors, whose sum is σ = 1515258681753600. Its totient is φ = 114368761036800.

The previous prime is 423815401045987. The next prime is 423815401046039. The reversal of 423815401046016 is 610640104518324.

423815401046016 is a `hidden beast` number, since 4 + 2 + 3 + 81 + 540 + 10 + 4 + 6 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 180270267241 + ... + 180270269591.

It is an arithmetic number, because the mean of its divisors is an integer number (1315328716800).

Almost surely, 2^{423815401046016} 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 423815401046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757629340876800).

423815401046016 is an abundant number, since it is smaller than the sum of its proper divisors (1091443280707584).

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

423815401046016 is an equidigital number, since it uses as much as digits as its factorization.

423815401046016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 423815401046016 in words is "four hundred twenty-three trillion, eight hundred fifteen billion, four hundred one million, forty-six thousand, sixteen".