1493229052224 has 1792 divisors, whose sum is σ = 6077257482240. Its totient is φ = 348285173760.

The previous prime is 1493229052201. The next prime is 1493229052229. The reversal of 1493229052224 is 4222509223941.

1493229052224 is a `hidden beast` number, since 1 + 4 + 9 + 32 + 2 + 90 + 522 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1493229052224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1493229052229) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3066178509 + ... + 3066178995.

It is an arithmetic number, because the mean of its divisors is an integer number (3391326720).

Almost surely, 2^{1493229052224} is an apocalyptic number.

1493229052224 is a gapful number since it is divisible by the number (14) 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 1493229052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038628741120).

1493229052224 is an abundant number, since it is smaller than the sum of its proper divisors (4584028430016).

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

1493229052224 is a wasteful number, since it uses less digits than its factorization.

1493229052224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1493229052224 in words is "one trillion, four hundred ninety-three billion, two hundred twenty-nine million, fifty-two thousand, two hundred twenty-four".