492564223872 has 384 divisors, whose sum is σ = 1675968952320. Its totient is φ = 135881625600.

The previous prime is 492564223871. The next prime is 492564223891. The reversal of 492564223872 is 278322465294.

492564223872 is a `hidden beast` number, since 4 + 9 + 2 + 564 + 2 + 2 + 3 + 8 + 72 = 666.

492564223872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492564223871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122740138 + ... + 122744150.

It is an arithmetic number, because the mean of its divisors is an integer number (4364502480).

Almost surely, 2^492564223872 is an apocalyptic number.

492564223872 is a gapful number since it is divisible by the number (42) 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 492564223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837984476160).

492564223872 is an abundant number, since it is smaller than the sum of its proper divisors (1183404728448).

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

492564223872 is a wasteful number, since it uses less digits than its factorization.

492564223872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562 (or 4547 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 492564223872 in words is "four hundred ninety-two billion, five hundred sixty-four million, two hundred twenty-three thousand, eight hundred seventy-two".