423616103856 has 960 divisors, whose sum is σ = 1461956428800. Its totient is φ = 117022371840.

The previous prime is 423616103849. The next prime is 423616103861. The reversal of 423616103856 is 658301616324.

423616103856 is a `hidden beast` number, since 4 + 23 + 6 + 1 + 610 + 3 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×423616103856² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3959028955 + ... + 3959029061.

It is an arithmetic number, because the mean of its divisors is an integer number (1522871280).

Almost surely, 2^423616103856 is an apocalyptic number.

423616103856 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423616103856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730978214400).

423616103856 is an abundant number, since it is smaller than the sum of its proper divisors (1038340324944).

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

423616103856 is a wasteful number, since it uses less digits than its factorization.

423616103856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 423616103856 in words is "four hundred twenty-three billion, six hundred sixteen million, one hundred three thousand, eight hundred fifty-six".