224982521514 has 96 divisors (see below), whose sum is σ = 522203834880. Its totient is φ = 72522086400.

The previous prime is 224982521497. The next prime is 224982521537. The reversal of 224982521514 is 415125289422.

224982521514 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 82 + 52 + 1 + 514 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 224982521514.

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, 24236554 + ... + 24245834.

It is an arithmetic number, because the mean of its divisors is an integer number (5439623280).

Almost surely, 2^224982521514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224982521514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261101917440).

224982521514 is an abundant number, since it is smaller than the sum of its proper divisors (297221313366).

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

224982521514 is a wasteful number, since it uses less digits than its factorization.

224982521514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10938 (or 10926 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

It can be divided in two parts, 224982 and 521514, that added together give a square (746496 = 864²).

The spelling of 224982521514 in words is "two hundred twenty-four billion, nine hundred eighty-two million, five hundred twenty-one thousand, five hundred fourteen".