224115158160 has 240 divisors, whose sum is σ = 793522604160. Its totient is φ = 56528824320.

The previous prime is 224115158101. The next prime is 224115158171. The reversal of 224115158160 is 61851511422.

224115158160 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 1 + 515 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8838300 + ... + 8863620.

It is an arithmetic number, because the mean of its divisors is an integer number (3306344184).

Almost surely, 2^224115158160 is an apocalyptic number.

224115158160 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 224115158160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396761302080).

224115158160 is an abundant number, since it is smaller than the sum of its proper divisors (569407446000).

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

224115158160 is a wasteful number, since it uses less digits than its factorization.

224115158160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26006 (or 25997 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 224115158160 its reverse (61851511422), we get a palindrome (285966669582).

The spelling of 224115158160 in words is "two hundred twenty-four billion, one hundred fifteen million, one hundred fifty-eight thousand, one hundred sixty".