225005876415 has 24 divisors (see below), whose sum is σ = 390021463728. Its totient is φ = 119999664000.

The previous prime is 225005876401. The next prime is 225005876419. The reversal of 225005876415 is 514678500522.

225005876415 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 0 + 587 + 64 + 1 + 5 = 666.

It is not a de Polignac number, because 225005876415 - 2¹⁶ = 225005810879 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225005876419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2532627 + ... + 2619963.

It is an arithmetic number, because the mean of its divisors is an integer number (16250894322).

Almost surely, 2^225005876415 is an apocalyptic number.

225005876415 is a deficient number, since it is larger than the sum of its proper divisors (165015587313).

225005876415 is a wasteful number, since it uses less digits than its factorization.

225005876415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144599 (or 144596 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

It can be divided in two parts, 225005876 and 415, that added together give a triangular number (225006291 = T₂₁₂₁₃).

The spelling of 225005876415 in words is "two hundred twenty-five billion, five million, eight hundred seventy-six thousand, four hundred fifteen".