225487608192 has 864 divisors, whose sum is σ = 849079118160. Its totient is φ = 58383452160.

The previous prime is 225487608191. The next prime is 225487608211. The reversal of 225487608192 is 291806784522.

225487608192 is a `hidden beast` number, since 2 + 2 + 548 + 7 + 6 + 0 + 8 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×225487608192² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225487608191) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 711317218 + ... + 711317534.

Almost surely, 2^225487608192 is an apocalyptic number.

225487608192 is a gapful number since it is divisible by the number (22) 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 225487608192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424539559080).

225487608192 is an abundant number, since it is smaller than the sum of its proper divisors (623591509968).

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

225487608192 is an frugal number, since it uses more digits than its factorization.

225487608192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 225487608192 in words is "two hundred twenty-five billion, four hundred eighty-seven million, six hundred eight thousand, one hundred ninety-two".