13618225522944 has 675 divisors, whose sum is σ = 47462863891443. Its totient is φ = 3883481957376.

The previous prime is 13618225522939. The next prime is 13618225522963. The reversal of 13618225522944 is 44922552281631.

The square root of 13618225522944 is 3690288.

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

13618225522944 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 8 + 2 + 25 + 522 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 26038671867 + ... + 26038672389.

Almost surely, 2^{13618225522944} is an apocalyptic number.

13618225522944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13618225522944 is the 3690288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13618225522944

13618225522944 is an abundant number, since it is smaller than the sum of its proper divisors (33844638368499).

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

13618225522944 is an frugal number, since it uses more digits than its factorization.

13618225522944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 535 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 13618225522944 in words is "thirteen trillion, six hundred eighteen billion, two hundred twenty-five million, five hundred twenty-two thousand, nine hundred forty-four".