224251252363215 has 48 divisors (see below), whose sum is σ = 484615693426176. Its totient is φ = 93195325656000.

The previous prime is 224251252363213. The next prime is 224251252363217. The reversal of 224251252363215 is 512363252152422.

224251252363215 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 5 + 1 + 2 + 5 + 2 + 3 + 632 + 1 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (224251252363213) and next prime (224251252363217).

It is not a de Polignac number, because 224251252363215 - 2¹ = 224251252363213 is a prime.

It is a super-2 number, since 2×224251252363215² (a number of 30 digits) contains 22 as substring.

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 (224251252363211) 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, 32359484611 + ... + 32359491540.

It is an arithmetic number, because the mean of its divisors is an integer number (10096160279712).

Almost surely, 2^{224251252363215} is an apocalyptic number.

224251252363215 is an abundant number, since it is smaller than the sum of its proper divisors (260364441062961).

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

224251252363215 is a wasteful number, since it uses less digits than its factorization.

224251252363215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64718976180 (or 64718976177 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 224251252363215 in words is "two hundred twenty-four trillion, two hundred fifty-one billion, two hundred fifty-two million, three hundred sixty-three thousand, two hundred fifteen".