225290103948 has 480 divisors, whose sum is σ = 787689943040. Its totient is φ = 54469946880.

The previous prime is 225290103937. The next prime is 225290103991. The reversal of 225290103948 is 849301092522.

225290103948 is a `hidden beast` number, since 2 + 252 + 9 + 0 + 1 + 0 + 394 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17359590 + ... + 17372562.

Almost surely, 2^225290103948 is an apocalyptic number.

225290103948 is a gapful number since it is divisible by the number (28) 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 225290103948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393844971520).

225290103948 is an abundant number, since it is smaller than the sum of its proper divisors (562399839092).

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

225290103948 is a wasteful number, since it uses less digits than its factorization.

225290103948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13059 (or 13048 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 225290103948 in words is "two hundred twenty-five billion, two hundred ninety million, one hundred three thousand, nine hundred forty-eight".