18345253994496 has 1275 divisors, whose sum is σ = 65264643482423. Its totient is φ = 5131539578880.

The previous prime is 18345253994491. The next prime is 18345253994569. The reversal of 18345253994496 is 69449935254381.

It is a happy number.

The square root of 18345253994496 is 4283136.

It is a perfect power (a square), and thus also a powerful number.

18345253994496 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 525 + 3 + 9 + 9 + 4 + 4 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9095869956096 + 9249384038400 = 3015936^2 + 3041280^2 .

It is a super-4 number, since 4×18345253994496⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (18345253994491) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1411173384186 + ... + 1411173384198.

Almost surely, 2^{18345253994496} is an apocalyptic number.

18345253994496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18345253994496 is the 4283136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18345253994496

18345253994496 is an abundant number, since it is smaller than the sum of its proper divisors (46919389487927).

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

18345253994496 is an frugal number, since it uses more digits than its factorization.

18345253994496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 29 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 72.

The spelling of 18345253994496 in words is "eighteen trillion, three hundred forty-five billion, two hundred fifty-three million, nine hundred ninety-four thousand, four hundred ninety-six".