423865569054816 has 2688 divisors, whose sum is σ = 1583211416371200. Its totient is φ = 109012005273600.

The previous prime is 423865569054799. The next prime is 423865569054817. The reversal of 423865569054816 is 618450965568324.

423865569054816 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 6 + 5 + 5 + 69 + 0 + 548 + 16 = 666.

It is a super-2 number, since 2×423865569054816² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423865569054817) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 919448088826 + ... + 919448089286.

It is an arithmetic number, because the mean of its divisors is an integer number (588992342400).

Almost surely, 2^{423865569054816} is an apocalyptic number.

423865569054816 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 423865569054816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791605708185600).

423865569054816 is an abundant number, since it is smaller than the sum of its proper divisors (1159345847316384).

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

423865569054816 is a wasteful number, since it uses less digits than its factorization.

423865569054816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1492992000, while the sum is 72.

The spelling of 423865569054816 in words is "four hundred twenty-three trillion, eight hundred sixty-five billion, five hundred sixty-nine million, fifty-four thousand, eight hundred sixteen".