225821515248000 has 4608 divisors, whose sum is σ = 1060227653846400. Its totient is φ = 46940995584000.

The previous prime is 225821515247981. The next prime is 225821515248011. The reversal of 225821515248000 is 842515128522.

225821515248000 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 2 + 15 + 152 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 345821615674 + ... + 345821616326.

Almost surely, 2^{225821515248000} is an apocalyptic number.

225821515248000 is a gapful number since it is divisible by the number (20) 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 225821515248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530113826923200).

225821515248000 is an abundant number, since it is smaller than the sum of its proper divisors (834406138598400).

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

225821515248000 is a wasteful number, since it uses less digits than its factorization.

225821515248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 225821515248000 in words is "two hundred twenty-five trillion, eight hundred twenty-one billion, five hundred fifteen million, two hundred forty-eight thousand".