406563783552 has 144 divisors (see below), whose sum is σ = 1192429765800. Its totient is φ = 132963197952.

The previous prime is 406563783449. The next prime is 406563783559. The reversal of 406563783552 is 255387365604.

406563783552 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 6 + 3 + 7 + 83 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×406563783552² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406563783559) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3173149 + ... + 3298787.

Almost surely, 2^406563783552 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 406563783552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596214882900).

406563783552 is an abundant number, since it is smaller than the sum of its proper divisors (785865982248).

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

406563783552 is a wasteful number, since it uses less digits than its factorization.

406563783552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125765 (or 125697 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 406563783552 in words is "four hundred six billion, five hundred sixty-three million, seven hundred eighty-three thousand, five hundred fifty-two".